312410242014213 has 16 divisors (see below), whose sum is σ = 477007717568000. Its totient is φ = 178162382499696.

The previous prime is 312410242014209. The next prime is 312410242014251.

It is a happy number.

312410242014213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312410242014213 - 2² = 312410242014209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312410242014293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14906480695 + ... + 14906501652.

It is an arithmetic number, because the mean of its divisors is an integer number (29812982348000).

Almost surely, 2^{312410242014213} is an apocalyptic number.

It is an amenable number.

312410242014213 is a deficient number, since it is larger than the sum of its proper divisors (164597475553787).

312410242014213 is a wasteful number, since it uses less digits than its factorization.

312410242014213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29812982856.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 312410242014213 in words is "three hundred twelve trillion, four hundred ten billion, two hundred forty-two million, fourteen thousand, two hundred thirteen".