312224302204013 has 2 divisors, whose sum is σ = 312224302204014. Its totient is φ = 312224302204012.

The previous prime is 312224302203997. The next prime is 312224302204021. The reversal of 312224302204013 is 310402203422213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285996363176329 + 26227939027684 = 16911427^2 + 5121322^2 .

It is a cyclic number.

It is not a de Polignac number, because 312224302204013 - 2⁴ = 312224302203997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312224302204313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156112151102006 + 156112151102007.

It is an arithmetic number, because the mean of its divisors is an integer number (156112151102007).

Almost surely, 2^{312224302204013} is an apocalyptic number.

It is an amenable number.

312224302204013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312224302204013 is an equidigital number, since it uses as much as digits as its factorization.

312224302204013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 312224302204013 its reverse (310402203422213), we get a palindrome (622626505626226).

The spelling of 312224302204013 in words is "three hundred twelve trillion, two hundred twenty-four billion, three hundred two million, two hundred four thousand, thirteen".