31132013312232 has 384 divisors, whose sum is σ = 101983648665600. Its totient is φ = 8386997769216.

The previous prime is 31132013312143. The next prime is 31132013312293. The reversal of 31132013312232 is 23221331023113.

31132013312232 is a `hidden beast` number, since 3 + 1 + 1 + 320 + 1 + 3 + 312 + 23 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31132013312196 and 31132013312205.

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, 1725425403 + ... + 1725443445.

It is an arithmetic number, because the mean of its divisors is an integer number (265582418400).

Almost surely, 2^{31132013312232} 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 31132013312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50991824332800).

31132013312232 is an abundant number, since it is smaller than the sum of its proper divisors (70851635353368).

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

31132013312232 is a wasteful number, since it uses less digits than its factorization.

31132013312232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20197 (or 20190 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31132013312232 its reverse (23221331023113), we get a palindrome (54353344335345).

The spelling of 31132013312232 in words is "thirty-one trillion, one hundred thirty-two billion, thirteen million, three hundred twelve thousand, two hundred thirty-two".