2113

2113 is a prime number.

2111 and 2113 form a twin prime pair.

2113 = 1⁵ + 2⁵ + 2⁵ + 4⁵ + 4⁵ = (2⁵)² + (2⁵ + 1)².

2113 is the largest prime factor of 2²² + 1.

2113 is 100001000001 in base 2 (binary).

2113 has a representation as a sum of two squares: 2113 = 32² + 33². It is the sum of two consecutive squares.

2113 is the hypotenuse of a primitive Pythagorean triple: 2113² = 65² + 2112².

2113 divides 65⁴ - 1.

Source: Prime Curios!