113313100131 has 48 divisors (see below), whose sum is σ = 204104759040. Its totient is φ = 58851524160.

The previous prime is 113313100127. The next prime is 113313100133. The reversal of 113313100131 is 131001313311.

113313100131 is a `hidden beast` number, since 11 + 331 + 310 + 0 + 13 + 1 = 666.

It is not a de Polignac number, because 113313100131 - 2² = 113313100127 is a prime.

It is a super-2 number, since 2×113313100131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113313100133) 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, 3914196 + ... + 3943038.

It is an arithmetic number, because the mean of its divisors is an integer number (4252182480).

Almost surely, 2^113313100131 is an apocalyptic number.

113313100131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113313100131 is a deficient number, since it is larger than the sum of its proper divisors (90791658909).

113313100131 is a wasteful number, since it uses less digits than its factorization.

113313100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34536 (or 34533 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 113313100131 its reverse (131001313311), we get a palindrome (244314413442).

It can be divided in two parts, 113313 and 100131, that added together give a square (213444 = 462²).

The spelling of 113313100131 in words is "one hundred thirteen billion, three hundred thirteen million, one hundred thousand, one hundred thirty-one".