113306564456561 has 16 divisors (see below), whose sum is σ = 131491763876736. Its totient is φ = 95622453628416.

The previous prime is 113306564456551. The next prime is 113306564456581. The reversal of 113306564456561 is 165654465603311.

It is a cyclic number.

It is not a de Polignac number, because 113306564456561 - 2⁴² = 108908517945457 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113306564456497 and 113306564456506.

It is not an unprimeable number, because it can be changed into a prime (113306564456521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59552096 + ... + 61425281.

It is an arithmetic number, because the mean of its divisors is an integer number (8218235242296).

Almost surely, 2^{113306564456561} is an apocalyptic number.

It is an amenable number.

113306564456561 is a deficient number, since it is larger than the sum of its proper divisors (18185199420175).

113306564456561 is a wasteful number, since it uses less digits than its factorization.

113306564456561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120979448.

The product of its (nonzero) digits is 23328000, while the sum is 56.

The spelling of 113306564456561 in words is "one hundred thirteen trillion, three hundred six billion, five hundred sixty-four million, four hundred fifty-six thousand, five hundred sixty-one".