312313242313213 has 4 divisors (see below), whose sum is σ = 312313353468480. Its totient is φ = 312313131157948.

The previous prime is 312313242313207. The next prime is 312313242313297.

312313242313213 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 312313242313213 - 2²⁵ = 312313208758781 is a prime.

It is a super-2 number, since 2×312313242313213² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312313242316213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51250795 + ... + 57019912.

It is an arithmetic number, because the mean of its divisors is an integer number (78078338367120).

Almost surely, 2^{312313242313213} is an apocalyptic number.

It is an amenable number.

312313242313213 is a deficient number, since it is larger than the sum of its proper divisors (111155267).

312313242313213 is a wasteful number, since it uses less digits than its factorization.

312313242313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111155266.

The product of its digits is 46656, while the sum is 34.

The spelling of 312313242313213 in words is "three hundred twelve trillion, three hundred thirteen billion, two hundred forty-two million, three hundred thirteen thousand, two hundred thirteen".