310313010013 has 2 divisors, whose sum is σ = 310313010014. Its totient is φ = 310313010012.

The previous prime is 310313010001. The next prime is 310313010017. The reversal of 310313010013 is 310010313013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156042380484 + 154270629529 = 395022^2 + 392773^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-310313010013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310313010017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155156505006 + 155156505007.

It is an arithmetic number, because the mean of its divisors is an integer number (155156505007).

Almost surely, 2^310313010013 is an apocalyptic number.

It is an amenable number.

310313010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

310313010013 is an equidigital number, since it uses as much as digits as its factorization.

310313010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 310313010013 its reverse (310010313013), we get a palindrome (620323323026).

The spelling of 310313010013 in words is "three hundred ten billion, three hundred thirteen million, ten thousand, thirteen".