310313202313013 has 2 divisors, whose sum is σ = 310313202313014. Its totient is φ = 310313202313012.

The previous prime is 310313202312961. The next prime is 310313202313027.

310313202313013 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189952840746244 + 120360361566769 = 13782338^2 + 10970887^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 310313202313013 - 2³⁴ = 310296022443829 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310313202313073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155156601156506 + 155156601156507.

It is an arithmetic number, because the mean of its divisors is an integer number (155156601156507).

Almost surely, 2^{310313202313013} is an apocalyptic number.

It is an amenable number.

310313202313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

310313202313013 is an equidigital number, since it uses as much as digits as its factorization.

310313202313013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 31031320 and 2313013, that added together give a palindrome (33344333).

The spelling of 310313202313013 in words is "three hundred ten trillion, three hundred thirteen billion, two hundred two million, three hundred thirteen thousand, thirteen".