31113022130100 has 108 divisors (see below), whose sum is σ = 97523186765004. Its totient is φ = 8296708285440.

The previous prime is 31113022130039. The next prime is 31113022130107. The reversal of 31113022130100 is 103122031113.

31113022130100 is a `hidden beast` number, since 3 + 11 + 130 + 221 + 301 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4764039598224 + 26348982531876 = 2182668^2 + 5133126^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31113022130107) 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 in 35 ways as a sum of consecutive naturals, for example, 108736422 + ... + 109022178.

Almost surely, 2^{31113022130100} is an apocalyptic number.

31113022130100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31113022130100 is an abundant number, since it is smaller than the sum of its proper divisors (66410164634904).

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

31113022130100 is a wasteful number, since it uses less digits than its factorization.

31113022130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406754 (or 406744 counting only the distinct ones).

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

Adding to 31113022130100 its reverse (103122031113), we get a palindrome (31216144161213).

The spelling of 31113022130100 in words is "thirty-one trillion, one hundred thirteen billion, twenty-two million, one hundred thirty thousand, one hundred".