312426624213 has 48 divisors (see below), whose sum is σ = 497401482240. Its totient is φ = 187392336000.

The previous prime is 312426624197. The next prime is 312426624239.

312426624213 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 2 + 6 + 624 + 21 + 3 = 666.

312426624213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312426624213 - 2⁴ = 312426624197 is a prime.

It is a super-2 number, since 2×312426624213² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312426624313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28781695 + ... + 28792547.

It is an arithmetic number, because the mean of its divisors is an integer number (10362530880).

Almost surely, 2^312426624213 is an apocalyptic number.

312426624213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312426624213 is a deficient number, since it is larger than the sum of its proper divisors (184974858027).

312426624213 is a wasteful number, since it uses less digits than its factorization.

312426624213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13850 (or 13847 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 312426 and 624213, that added together give a palindrome (936639).

The spelling of 312426624213 in words is "three hundred twelve billion, four hundred twenty-six million, six hundred twenty-four thousand, two hundred thirteen".