312413343314213 has 8 divisors (see below), whose sum is σ = 316895543830656. Its totient is φ = 307933420925200.

The previous prime is 312413343314197. The next prime is 312413343314221.

312413343314213 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312413343314213 - 2⁴ = 312413343314197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312413343314113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 569255618 + ... + 569804163.

It is an arithmetic number, because the mean of its divisors is an integer number (39611942978832).

Almost surely, 2^{312413343314213} is an apocalyptic number.

It is an amenable number.

312413343314213 is a deficient number, since it is larger than the sum of its proper divisors (4482200516443).

312413343314213 is a wasteful number, since it uses less digits than its factorization.

312413343314213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139063715.

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

The spelling of 312413343314213 in words is "three hundred twelve trillion, four hundred thirteen billion, three hundred forty-three million, three hundred fourteen thousand, two hundred thirteen".