311431032020400 has 120 divisors (see below), whose sum is σ = 997621577794704. Its totient is φ = 83047927910400.

The previous prime is 311431032020399. The next prime is 311431032020431. The reversal of 311431032020400 is 4020230134113.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 426500412 + ... + 427229988.

Almost surely, 2^{311431032020400} is an apocalyptic number.

311431032020400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311431032020400 is an abundant number, since it is smaller than the sum of its proper divisors (686190545774304).

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

311431032020400 is a wasteful number, since it uses less digits than its factorization.

311431032020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085319 (or 1085308 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 311431032020400 its reverse (4020230134113), we get a palindrome (315451262154513).

The spelling of 311431032020400 in words is "three hundred eleven trillion, four hundred thirty-one billion, thirty-two million, twenty thousand, four hundred".