113400113013 has 48 divisors (see below), whose sum is σ = 180534182400. Its totient is φ = 68019271200.

The previous prime is 113400112993. The next prime is 113400113017. The reversal of 113400113013 is 310311004311.

113400113013 is a `hidden beast` number, since 11 + 340 + 0 + 11 + 301 + 3 = 666.

It is not a de Polignac number, because 113400113013 - 2¹⁰ = 113400111989 is a prime.

It is a super-2 number, since 2×113400113013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113400113017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33638218 + ... + 33641588.

It is an arithmetic number, because the mean of its divisors is an integer number (3761128800).

Almost surely, 2^113400113013 is an apocalyptic number.

It is an amenable number.

113400113013 is a deficient number, since it is larger than the sum of its proper divisors (67134069387).

113400113013 is a wasteful number, since it uses less digits than its factorization.

113400113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113400113013 its reverse (310311004311), we get a palindrome (423711117324).

The spelling of 113400113013 in words is "one hundred thirteen billion, four hundred million, one hundred thirteen thousand, thirteen".