31107005813128 has 64 divisors (see below), whose sum is σ = 67309152768000. Its totient is φ = 13201333134912.

The previous prime is 31107005813123. The next prime is 31107005813131. The reversal of 31107005813128 is 82131850070113.

It is not an unprimeable number, because it can be changed into a prime (31107005813123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99278133 + ... + 99590971.

It is an arithmetic number, because the mean of its divisors is an integer number (1051705512000).

Almost surely, 2^{31107005813128} is an apocalyptic number.

It is an amenable number.

31107005813128 is an abundant number, since it is smaller than the sum of its proper divisors (36202146954872).

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

31107005813128 is a wasteful number, since it uses less digits than its factorization.

31107005813128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330194 (or 330190 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 31107005813128 in words is "thirty-one trillion, one hundred seven billion, five million, eight hundred thirteen thousand, one hundred twenty-eight".