310313120400013 has 2 divisors, whose sum is σ = 310313120400014. Its totient is φ = 310313120400012.

The previous prime is 310313120399963. The next prime is 310313120400043. The reversal of 310313120400013 is 310004021313013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184720798987209 + 125592321412804 = 13591203^2 + 11206798^2 .

It is a cyclic number.

It is not a de Polignac number, because 310313120400013 - 2⁴¹ = 308114097144461 is a prime.

It is a super-2 number, since 2×310313120400013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310313120400043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155156560200006 + 155156560200007.

It is an arithmetic number, because the mean of its divisors is an integer number (155156560200007).

Almost surely, 2^{310313120400013} is an apocalyptic number.

It is an amenable number.

310313120400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

310313120400013 is an equidigital number, since it uses as much as digits as its factorization.

310313120400013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 310313120400013 its reverse (310004021313013), we get a palindrome (620317141713026).

The spelling of 310313120400013 in words is "three hundred ten trillion, three hundred thirteen billion, one hundred twenty million, four hundred thousand, thirteen".