312401124214013 has 2 divisors, whose sum is σ = 312401124214014. Its totient is φ = 312401124214012.

The previous prime is 312401124213989. The next prime is 312401124214021. The reversal of 312401124214013 is 310412421104213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 284381072414404 + 28020051799609 = 16863602^2 + 5293397^2 .

It is a cyclic number.

It is not a de Polignac number, because 312401124214013 - 2¹² = 312401124209917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312401124214033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156200562107006 + 156200562107007.

It is an arithmetic number, because the mean of its divisors is an integer number (156200562107007).

Almost surely, 2^{312401124214013} is an apocalyptic number.

It is an amenable number.

312401124214013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312401124214013 is an equidigital number, since it uses as much as digits as its factorization.

312401124214013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 312401124214013 its reverse (310412421104213), we get a palindrome (622813545318226).

The spelling of 312401124214013 in words is "three hundred twelve trillion, four hundred one billion, one hundred twenty-four million, two hundred fourteen thousand, thirteen".