312331020013200 has 120 divisors (see below), whose sum is σ = 1000652513811808. Its totient is φ = 83275606333440.

The previous prime is 312331020013189. The next prime is 312331020013217. The reversal of 312331020013200 is 2310020133213.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11894422 + ... + 27679221.

Almost surely, 2^{312331020013200} is an apocalyptic number.

312331020013200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312331020013200 is an abundant number, since it is smaller than the sum of its proper divisors (688321493798608).

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

312331020013200 is a wasteful number, since it uses less digits than its factorization.

312331020013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39580241 (or 39580230 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312331020013200 its reverse (2310020133213), we get a palindrome (314641040146413).

The spelling of 312331020013200 in words is "three hundred twelve trillion, three hundred thirty-one billion, twenty million, thirteen thousand, two hundred".