31115621901312 has 1584 divisors, whose sum is σ = 107242333406208. Its totient is φ = 8612321034240.

The previous prime is 31115621901307. The next prime is 31115621901313. The reversal of 31115621901312 is 21310912651113.

31115621901312 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 5 + 621 + 9 + 0 + 13 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31115621901313) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157947319198 + ... + 157947319394.

It is an arithmetic number, because the mean of its divisors is an integer number (67703493312).

Almost surely, 2^{31115621901312} is an apocalyptic number.

31115621901312 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 31115621901312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621166703104).

31115621901312 is an abundant number, since it is smaller than the sum of its proper divisors (76126711504896).

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

31115621901312 is a wasteful number, since it uses less digits than its factorization.

31115621901312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 31115621901312 in words is "thirty-one trillion, one hundred fifteen billion, six hundred twenty-one million, nine hundred one thousand, three hundred twelve".