31113110113200 has 120 divisors (see below), whose sum is σ = 110739625293200. Its totient is φ = 8296829360640.

The previous prime is 31113110113193. The next prime is 31113110113219. The reversal of 31113110113200 is 231101131113.

31113110113200 is a `hidden beast` number, since 31 + 1 + 1 + 311 + 0 + 1 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×31113110113200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 1440410965 + ... + 1440432564.

Almost surely, 2^{31113110113200} is an apocalyptic number.

31113110113200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31113110113200 is an abundant number, since it is smaller than the sum of its proper divisors (79626515180000).

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

31113110113200 is a wasteful number, since it uses less digits than its factorization.

31113110113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880843556 (or 2880843539 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 31113110113200 its reverse (231101131113), we get a palindrome (31344211244313).

The spelling of 31113110113200 in words is "thirty-one trillion, one hundred thirteen billion, one hundred ten million, one hundred thirteen thousand, two hundred".