331112320133200 has 120 divisors (see below), whose sum is σ = 796629795751296. Its totient is φ = 132256416000000.

The previous prime is 331112320133173. The next prime is 331112320133443. The reversal of 331112320133200 is 2331023211133.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3725215959 + ... + 3725304841.

Almost surely, 2^{331112320133200} 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 331112320133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398314897875648).

331112320133200 is an abundant number, since it is smaller than the sum of its proper divisors (465517475618096).

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

331112320133200 is a wasteful number, since it uses less digits than its factorization.

331112320133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102053 (or 102042 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 331112320133200 its reverse (2331023211133), we get a palindrome (333443343344333).

The spelling of 331112320133200 in words is "three hundred thirty-one trillion, one hundred twelve billion, three hundred twenty million, one hundred thirty-three thousand, two hundred".