312412000214813 has 2 divisors, whose sum is σ = 312412000214814. Its totient is φ = 312412000214812.

The previous prime is 312412000214729. The next prime is 312412000214869. The reversal of 312412000214813 is 318412000214213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 272197796502724 + 40214203712089 = 16498418^2 + 6341467^2 .

It is an emirp because it is prime and its reverse (318412000214213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312412000214813 - 2⁴⁴ = 294819814170397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312412000214813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312412000264813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156206000107406 + 156206000107407.

It is an arithmetic number, because the mean of its divisors is an integer number (156206000107407).

Almost surely, 2^{312412000214813} is an apocalyptic number.

It is an amenable number.

312412000214813 is a deficient number, since it is larger than the sum of its proper divisors (1).

312412000214813 is an equidigital number, since it uses as much as digits as its factorization.

312412000214813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 312412000214813 in words is "three hundred twelve trillion, four hundred twelve billion, two hundred fourteen thousand, eight hundred thirteen".