31313200023200 has 72 divisors (see below), whose sum is σ = 76444564109760. Its totient is φ = 12525081004800.

The previous prime is 31313200023151. The next prime is 31313200023221. The reversal of 31313200023200 is 232000231313.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 56571785 + ... + 57122615.

It is an arithmetic number, because the mean of its divisors is an integer number (1061730057080).

Almost surely, 2^{31313200023200} is an apocalyptic number.

It is an amenable number.

31313200023200 is an abundant number, since it is smaller than the sum of its proper divisors (45131364086560).

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

31313200023200 is a wasteful number, since it uses less digits than its factorization.

31313200023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621910 (or 621897 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31313200023200 its reverse (232000231313), we get a palindrome (31545200254513).

The spelling of 31313200023200 in words is "thirty-one trillion, three hundred thirteen billion, two hundred million, twenty-three thousand, two hundred".