312034424430213 has 24 divisors (see below), whose sum is σ = 468807199001856. Its totient is φ = 199775794982400.

The previous prime is 312034424430181. The next prime is 312034424430283.

312034424430213 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 3 + 4 + 4 + 2 + 4 + 430 + 213 = 666.

312034424430213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312034424430213 - 2⁵ = 312034424430181 is a prime.

It is a super-3 number, since 3×312034424430213³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312034424430283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4268677020 + ... + 4268750117.

It is an arithmetic number, because the mean of its divisors is an integer number (19533633291744).

Almost surely, 2^{312034424430213} is an apocalyptic number.

It is an amenable number.

312034424430213 is a deficient number, since it is larger than the sum of its proper divisors (156772774571643).

312034424430213 is a wasteful number, since it uses less digits than its factorization.

312034424430213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8537427305 (or 8537427302 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 312034424430213 in words is "three hundred twelve trillion, thirty-four billion, four hundred twenty-four million, four hundred thirty thousand, two hundred thirteen".