312343300013013 has 12 divisors (see below), whose sum is σ = 451162941170188. Its totient is φ = 208228683579840.

The previous prime is 312343300013009. The next prime is 312343300013071. The reversal of 312343300013013 is 310310003343213.

312343300013013 is a `hidden beast` number, since 3 + 1 + 2 + 343 + 300 + 0 + 1 + 3 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135022703485329 + 177320596527684 = 11619927^2 + 13316178^2 .

It is not a de Polignac number, because 312343300013013 - 2² = 312343300013009 is a prime.

It is a super-3 number, since 3×312343300013013³ (a number of 44 digits) contains 333 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 (312343300011013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4018120 + ... + 25314657.

Almost surely, 2^{312343300013013} is an apocalyptic number.

It is an amenable number.

312343300013013 is a deficient number, since it is larger than the sum of its proper divisors (138819641157175).

312343300013013 is a wasteful number, since it uses less digits than its factorization.

312343300013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30515924 (or 30515921 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 312343300013013 its reverse (310310003343213), we get a palindrome (622653303356226).

The spelling of 312343300013013 in words is "three hundred twelve trillion, three hundred forty-three billion, three hundred million, thirteen thousand, thirteen".