312111230013 has 72 divisors (see below), whose sum is σ = 510686665944. Its totient is φ = 183410853120.

The previous prime is 312111229993. The next prime is 312111230027. The reversal of 312111230013 is 310032111213.

312111230013 is a `hidden beast` number, since 312 + 111 + 230 + 0 + 13 = 666.

312111230013 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 242223434244 + 69887795769 = 492162^2 + 264363^2 .

It is not a de Polignac number, because 312111230013 - 2¹⁴ = 312111213629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312111230033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11792631 + ... + 11819067.

Almost surely, 2^312111230013 is an apocalyptic number.

312111230013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312111230013 is a deficient number, since it is larger than the sum of its proper divisors (198575435931).

312111230013 is a wasteful number, since it uses less digits than its factorization.

312111230013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26795 (or 26781 counting only the distinct ones).

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

Adding to 312111230013 its reverse (310032111213), we get a palindrome (622143341226).

The spelling of 312111230013 in words is "three hundred twelve billion, one hundred eleven million, two hundred thirty thousand, thirteen".