313421343124313 has 2 divisors, whose sum is σ = 313421343124314. Its totient is φ = 313421343124312.

The previous prime is 313421343124261. The next prime is 313421343124369.

313421343124313 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257942486905744 + 55478856218569 = 16060588^2 + 7448413^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313421343124313 - 2¹⁸ = 313421342862169 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (313421343124013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156710671562156 + 156710671562157.

It is an arithmetic number, because the mean of its divisors is an integer number (156710671562157).

Almost surely, 2^{313421343124313} is an apocalyptic number.

It is an amenable number.

313421343124313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313421343124313 is an equidigital number, since it uses as much as digits as its factorization.

313421343124313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 186624, while the sum is 38.

The spelling of 313421343124313 in words is "three hundred thirteen trillion, four hundred twenty-one billion, three hundred forty-three million, one hundred twenty-four thousand, three hundred thirteen".