31013613120 has 672 divisors, whose sum is σ = 119469212928. Its totient is φ = 6790791168.

The previous prime is 31013613119. The next prime is 31013613139. The reversal of 31013613120 is 2131631013.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×31013613120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179269354 + ... + 179269526.

Almost surely, 2^31013613120 is an apocalyptic number.

31013613120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31013613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59734606464).

31013613120 is an abundant number, since it is smaller than the sum of its proper divisors (88455599808).

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

31013613120 is a wasteful number, since it uses less digits than its factorization.

31013613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The spelling of 31013613120 in words is "thirty-one billion, thirteen million, six hundred thirteen thousand, one hundred twenty".