31321019686992 has 960 divisors, whose sum is σ = 102552396226560. Its totient is φ = 8186935680000.

The previous prime is 31321019686889. The next prime is 31321019687021. The reversal of 31321019686992 is 29968691012313.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 53357784523 + ... + 53357785109.

It is an arithmetic number, because the mean of its divisors is an integer number (106825412736).

Almost surely, 2^{31321019686992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31321019686992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51276198113280).

31321019686992 is an abundant number, since it is smaller than the sum of its proper divisors (71231376539568).

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

31321019686992 is a wasteful number, since it uses less digits than its factorization.

31321019686992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 60.

The spelling of 31321019686992 in words is "thirty-one trillion, three hundred twenty-one billion, nineteen million, six hundred eighty-six thousand, nine hundred ninety-two".