113031131200 has 84 divisors (see below), whose sum is σ = 299521684420. Its totient is φ = 41734563840.

The previous prime is 113031131179. The next prime is 113031131221. The reversal of 113031131200 is 2131130311.

It is an interprime number because it is at equal distance from previous prime (113031131179) and next prime (113031131221).

It can be written as a sum of positive squares in 6 ways, for example, as 41733586944 + 71297544256 = 204288^2 + 267016^2 .

It is a super-2 number, since 2×113031131200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2696295 + ... + 2737894.

Almost surely, 2^113031131200 is an apocalyptic number.

113031131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113031131200 is an abundant number, since it is smaller than the sum of its proper divisors (186490553220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113031131200 is a wasteful number, since it uses less digits than its factorization.

113031131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434224 (or 5434209 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 113031131200 its reverse (2131130311), we get a palindrome (115162261511).

The spelling of 113031131200 in words is "one hundred thirteen billion, thirty-one million, one hundred thirty-one thousand, two hundred".