312131102112 has 72 divisors (see below), whose sum is σ = 891432553284. Its totient is φ = 103597138944.

The previous prime is 312131101949. The next prime is 312131102147. The reversal of 312131102112 is 211201131213.

312131102112 is a `hidden beast` number, since 312 + 131 + 10 + 211 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 246965265936 + 65165836176 = 496956^2 + 255276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2258623 + ... + 2392830.

Almost surely, 2^312131102112 is an apocalyptic number.

312131102112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312131102112 is an abundant number, since it is smaller than the sum of its proper divisors (579301451172).

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

312131102112 is a wasteful number, since it uses less digits than its factorization.

312131102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651702 (or 4651691 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 312131102112 its reverse (211201131213), we get a palindrome (523332233325).

The spelling of 312131102112 in words is "three hundred twelve billion, one hundred thirty-one million, one hundred two thousand, one hundred twelve".