313323220013 has 2 divisors, whose sum is σ = 313323220014. Its totient is φ = 313323220012.

The previous prime is 313323219959. The next prime is 313323220027. The reversal of 313323220013 is 310022323313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 300455267044 + 12867952969 = 548138^2 + 113437^2 .

It is a cyclic number.

It is not a de Polignac number, because 313323220013 - 2²² = 313319025709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313323225013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156661610006 + 156661610007.

It is an arithmetic number, because the mean of its divisors is an integer number (156661610007).

Almost surely, 2^313323220013 is an apocalyptic number.

It is an amenable number.

313323220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313323220013 is an equidigital number, since it uses as much as digits as its factorization.

313323220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 313323220013 its reverse (310022323313), we get a palindrome (623345543326).

The spelling of 313323220013 in words is "three hundred thirteen billion, three hundred twenty-three million, two hundred twenty thousand, thirteen".