31312013312 has 192 divisors, whose sum is σ = 68780275200. Its totient is φ = 14193786880.

The previous prime is 31312013267. The next prime is 31312013339. The reversal of 31312013312 is 21331021313.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131012489 + ... + 131012727.

It is an arithmetic number, because the mean of its divisors is an integer number (358230600).

Almost surely, 2^31312013312 is an apocalyptic number.

31312013312 is a gapful number since it is divisible by the number (32) 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 31312013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34390137600).

31312013312 is an abundant number, since it is smaller than the sum of its proper divisors (37468261888).

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

31312013312 is a wasteful number, since it uses less digits than its factorization.

31312013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31312013312 its reverse (21331021313), we get a palindrome (52643034625).

The spelling of 31312013312 in words is "thirty-one billion, three hundred twelve million, thirteen thousand, three hundred twelve".