31331201313312 has 96 divisors (see below), whose sum is σ = 91384994352960. Its totient is φ = 10443468188160.

The previous prime is 31331201313299. The next prime is 31331201313317. The reversal of 31331201313312 is 21331310213313.

31331201313312 is a `hidden beast` number, since 3 + 1 + 3 + 31 + 2 + 0 + 1 + 313 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31331201313317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35122603 + ... + 36003605.

It is an arithmetic number, because the mean of its divisors is an integer number (951927024510).

Almost surely, 2^{31331201313312} is an apocalyptic number.

31331201313312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31331201313312 is an abundant number, since it is smaller than the sum of its proper divisors (60053793039648).

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

31331201313312 is a wasteful number, since it uses less digits than its factorization.

31331201313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922183 (or 922169 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 31331201313312 its reverse (21331310213313), we get a palindrome (52662511526625).

The spelling of 31331201313312 in words is "thirty-one trillion, three hundred thirty-one billion, two hundred one million, three hundred thirteen thousand, three hundred twelve".