31013032002000 has 160 divisors (see below), whose sum is σ = 100243056176640. Its totient is φ = 8248881241600.

The previous prime is 31013032001993. The next prime is 31013032002013. The reversal of 31013032002000 is 20023031013.

It is a super-2 number, since 2×31013032002000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4309752 + ... + 8977751.

It is an arithmetic number, because the mean of its divisors is an integer number (626519101104).

Almost surely, 2^{31013032002000} is an apocalyptic number.

31013032002000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31013032002000 is an abundant number, since it is smaller than the sum of its proper divisors (69230024174640).

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

31013032002000 is a wasteful number, since it uses less digits than its factorization.

31013032002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13287918 (or 13287902 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31013032002000 its reverse (20023031013), we get a palindrome (31033055033013).

The spelling of 31013032002000 in words is "thirty-one trillion, thirteen billion, thirty-two million, two thousand".