312110320113 has 6 divisors (see below), whose sum is σ = 450826017954. Its totient is φ = 208073546736.

The previous prime is 312110320087. The next prime is 312110320139. The reversal of 312110320113 is 311023011213.

It is an interprime number because it is at equal distance from previous prime (312110320087) and next prime (312110320139).

It can be written as a sum of positive squares in only one way, i.e., 202146454449 + 109963865664 = 449607^2 + 331608^2 .

It is not a de Polignac number, because 312110320113 - 2²² = 312106125809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312110320513) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17339462220 + ... + 17339462237.

It is an arithmetic number, because the mean of its divisors is an integer number (75137669659).

Almost surely, 2^312110320113 is an apocalyptic number.

It is an amenable number.

312110320113 is a deficient number, since it is larger than the sum of its proper divisors (138715697841).

312110320113 is a wasteful number, since it uses less digits than its factorization.

312110320113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34678924463 (or 34678924460 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312110320113 its reverse (311023011213), we get a palindrome (623133331326).

The spelling of 312110320113 in words is "three hundred twelve billion, one hundred ten million, three hundred twenty thousand, one hundred thirteen".