312436634213 has 16 divisors (see below), whose sum is σ = 344542391424. Its totient is φ = 280951157760.

The previous prime is 312436634179. The next prime is 312436634219.

312436634213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312436634213 - 2²⁴ = 312419856997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312436634219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1891481 + ... + 2050017.

It is an arithmetic number, because the mean of its divisors is an integer number (21533899464).

Almost surely, 2^312436634213 is an apocalyptic number.

It is an amenable number.

312436634213 is a deficient number, since it is larger than the sum of its proper divisors (32105757211).

312436634213 is a wasteful number, since it uses less digits than its factorization.

312436634213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160492.

The product of its digits is 186624, while the sum is 38.

It can be divided in two parts, 312436 and 634213, that added together give a palindrome (946649).

The spelling of 312436634213 in words is "three hundred twelve billion, four hundred thirty-six million, six hundred thirty-four thousand, two hundred thirteen".