311312464213113 has 72 divisors (see below), whose sum is σ = 523387089388800. Its totient is φ = 177561098922240.

The previous prime is 311312464213111. The next prime is 311312464213151.

311312464213113 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 1 + 2 + 4 + 642 + 1 + 3 + 1 + 1 + 3 = 666.

311312464213113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311312464213113 - 2¹ = 311312464213111 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311312464213111) 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, 225893628 + ... + 227267586.

It is an arithmetic number, because the mean of its divisors is an integer number (7269265130400).

Almost surely, 2^{311312464213113} is an apocalyptic number.

311312464213113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311312464213113 is a deficient number, since it is larger than the sum of its proper divisors (212074625175687).

311312464213113 is a wasteful number, since it uses less digits than its factorization.

311312464213113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386243 (or 1386229 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 311312464213113 in words is "three hundred eleven trillion, three hundred twelve billion, four hundred sixty-four million, two hundred thirteen thousand, one hundred thirteen".