312131100310440 has 64 divisors (see below), whose sum is σ = 940123951623360. Its totient is φ = 82903346688000.

The previous prime is 312131100310427. The next prime is 312131100310457. The reversal of 312131100310440 is 44013001131213.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312131100310440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5181429049 + ... + 5181489288.

It is an arithmetic number, because the mean of its divisors is an integer number (14689436744115).

Almost surely, 2^{312131100310440} is an apocalyptic number.

312131100310440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312131100310440 is an abundant number, since it is smaller than the sum of its proper divisors (627992851312920).

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

312131100310440 is a wasteful number, since it uses less digits than its factorization.

312131100310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362918602 (or 10362918598 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 312131100310440 its reverse (44013001131213), we get a palindrome (356144101441653).

The spelling of 312131100310440 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred million, three hundred ten thousand, four hundred forty".