diff --git a/packages/eslint-plugin/src/rules/prefer-readonly-parameter-types.ts b/packages/eslint-plugin/src/rules/prefer-readonly-parameter-types.ts
index 71e5efe2f74d..47c4dfaa023b 100644
--- a/packages/eslint-plugin/src/rules/prefer-readonly-parameter-types.ts
+++ b/packages/eslint-plugin/src/rules/prefer-readonly-parameter-types.ts
@@ -7,6 +7,7 @@ import type { TypeOrValueSpecifier } from '../util';
 import {
   createRule,
   getParserServices,
+  isTypeBrandedLiteralLike,
   isTypeReadonly,
   readonlynessOptionsDefaults,
   readonlynessOptionsSchema,
@@ -129,7 +130,7 @@ export default createRule<Options, MessageIds>({
             treatMethodsAsReadonly: !!treatMethodsAsReadonly,
           });
 
-          if (!isReadOnly) {
+          if (!isReadOnly && !isTypeBrandedLiteralLike(type)) {
             context.report({
               node: actualParam,
               messageId: 'shouldBeReadonly',
diff --git a/packages/eslint-plugin/tests/rules/prefer-readonly-parameter-types.test.ts b/packages/eslint-plugin/tests/rules/prefer-readonly-parameter-types.test.ts
index 027f2f7ae49e..94381614160a 100644
--- a/packages/eslint-plugin/tests/rules/prefer-readonly-parameter-types.test.ts
+++ b/packages/eslint-plugin/tests/rules/prefer-readonly-parameter-types.test.ts
@@ -320,6 +320,114 @@ function foo(arg: Test) {}
 
       const willNotCrash = (foo: Readonly<WithSymbol>) => {};
     `,
+    `
+type TaggedBigInt = bigint & {
+  readonly __tag: unique symbol;
+};
+function custom1(arg: TaggedBigInt) {}
+    `,
+    `
+type TaggedNumber = number & {
+  readonly __tag: unique symbol;
+};
+function custom1(arg: TaggedNumber) {}
+    `,
+    `
+type TaggedString = string & {
+  readonly __tag: unique symbol;
+};
+function custom1(arg: TaggedString) {}
+    `,
+    `
+type TaggedString = string & {
+  readonly __tagA: unique symbol;
+  readonly __tagB: unique symbol;
+};
+function custom1(arg: TaggedString) {}
+    `,
+    `
+type TaggedString = string & {
+  readonly __tag: unique symbol;
+};
+
+type OtherSpecialString = string & {
+  readonly ' __other_tag': unique symbol;
+};
+
+function custom1(arg: TaggedString | OtherSpecialString) {}
+    `,
+    `
+type TaggedTemplateLiteral = \`\${string}-\${string}\` & {
+  readonly __tag: unique symbol;
+};
+function custom1(arg: TaggedTemplateLiteral) {}
+    `,
+    `
+type TaggedNumber = 1 & {
+  readonly __tag: unique symbol;
+};
+
+function custom1(arg: TaggedNumber) {}
+    `,
+    `
+type TaggedNumber = (1 | 2) & {
+  readonly __tag: unique symbol;
+};
+
+function custom1(arg: TaggedNumber) {}
+    `,
+    `
+type TaggedString = ('a' | 'b') & {
+  readonly __tag: unique symbol;
+};
+
+function custom1(arg: TaggedString) {}
+    `,
+    `
+type Strings = 'one' | 'two' | 'three';
+
+type TaggedString = Strings & {
+  readonly __tag: unique symbol;
+};
+
+function custom1(arg: TaggedString) {}
+    `,
+    `
+type Strings = 'one' | 'two' | 'three';
+
+type TaggedString = Strings & {
+  __tag: unique symbol;
+};
+
+function custom1(arg: TaggedString) {}
+    `,
+    `
+type TaggedString = string & {
+  __tag: unique symbol;
+} & {
+  __tag: unique symbol;
+};
+function custom1(arg: TaggedString) {}
+    `,
+    `
+type TaggedString = string & {
+  __tagA: unique symbol;
+} & {
+  __tagB: unique symbol;
+};
+function custom1(arg: TaggedString) {}
+    `,
+    `
+type TaggedString = string &
+  ({ __tag: unique symbol } | { __tag: unique symbol });
+function custom1(arg: TaggedString) {}
+    `,
+    `
+type TaggedFunction = (() => void) & {
+  readonly __tag: unique symbol;
+};
+function custom1(arg: TaggedFunction) {}
+    `,
     {
       code: `
         type Callback<T> = (options: T) => void;
@@ -909,6 +1017,23 @@ function foo(arg: Test) {}
         },
       ],
     },
+    {
+      code: `
+class ClassExample {}
+type Test = typeof ClassExample & {
+  readonly property: boolean;
+};
+function foo(arg: Test) {}
+      `,
+      errors: [
+        {
+          column: 14,
+          endColumn: 23,
+          line: 6,
+          messageId: 'shouldBeReadonly',
+        },
+      ],
+    },
     {
       code: `
         const sym = Symbol('sym');
diff --git a/packages/type-utils/src/index.ts b/packages/type-utils/src/index.ts
index 8435b4e1f429..8b83a1931405 100644
--- a/packages/type-utils/src/index.ts
+++ b/packages/type-utils/src/index.ts
@@ -6,6 +6,7 @@ export * from './getDeclaration';
 export * from './getSourceFileOfNode';
 export * from './getTypeName';
 export * from './isSymbolFromDefaultLibrary';
+export * from './isTypeBrandedLiteralLike';
 export * from './isTypeReadonly';
 export * from './isUnsafeAssignment';
 export * from './predicates';
diff --git a/packages/type-utils/src/isTypeBrandedLiteralLike.ts b/packages/type-utils/src/isTypeBrandedLiteralLike.ts
new file mode 100644
index 000000000000..93852c95fbc4
--- /dev/null
+++ b/packages/type-utils/src/isTypeBrandedLiteralLike.ts
@@ -0,0 +1,50 @@
+import * as tsutils from 'ts-api-utils';
+import * as ts from 'typescript';
+
+function isLiteralOrTaggablePrimitiveLike(type: ts.Type): boolean {
+  return (
+    type.isLiteral() ||
+    tsutils.isTypeFlagSet(
+      type,
+      ts.TypeFlags.BigInt |
+        ts.TypeFlags.Number |
+        ts.TypeFlags.String |
+        ts.TypeFlags.TemplateLiteral,
+    )
+  );
+}
+
+function isObjectLiteralLike(type: ts.Type): boolean {
+  return (
+    !type.getCallSignatures().length &&
+    !type.getConstructSignatures().length &&
+    tsutils.isObjectType(type)
+  );
+}
+
+function isTypeBrandedLiteral(type: ts.Type): boolean {
+  if (!type.isIntersection()) {
+    return false;
+  }
+
+  let hadObjectLike = false;
+  let hadPrimitiveLike = false;
+
+  for (const constituent of type.types) {
+    if (isObjectLiteralLike(constituent)) {
+      hadPrimitiveLike = true;
+    } else if (isLiteralOrTaggablePrimitiveLike(constituent)) {
+      hadObjectLike = true;
+    } else {
+      return false;
+    }
+  }
+
+  return hadPrimitiveLike && hadObjectLike;
+}
+
+export function isTypeBrandedLiteralLike(type: ts.Type): boolean {
+  return type.isUnion()
+    ? type.types.every(isTypeBrandedLiteral)
+    : isTypeBrandedLiteral(type);
+}