113402100113 has 2 divisors, whose sum is σ = 113402100114. Its totient is φ = 113402100112.

The previous prime is 113402100103. The next prime is 113402100169. The reversal of 113402100113 is 311001204311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94017664129 + 19384435984 = 306623^2 + 139228^2 .

It is a cyclic number.

It is not a de Polignac number, because 113402100113 - 2²⁶ = 113334991249 is a prime.

It is a super-2 number, since 2×113402100113² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113402100091 and 113402100100.

It is not a weakly prime, because it can be changed into another prime (113402100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56701050056 + 56701050057.

It is an arithmetic number, because the mean of its divisors is an integer number (56701050057).

Almost surely, 2^113402100113 is an apocalyptic number.

It is an amenable number.

113402100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

113402100113 is an equidigital number, since it uses as much as digits as its factorization.

113402100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 113402100113 its reverse (311001204311), we get a palindrome (424403304424).

The spelling of 113402100113 in words is "one hundred thirteen billion, four hundred two million, one hundred thousand, one hundred thirteen".