313000013 has 2 divisors, whose sum is σ = 313000014. Its totient is φ = 313000012.

The previous prime is 313000001. The next prime is 313000049. The reversal of 313000013 is 310000313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296459524 + 16540489 = 17218^2 + 4067^2 .

It is a cyclic number.

It is not a de Polignac number, because 313000013 - 2⁶ = 312999949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312999958 and 313000003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313000063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156500006 + 156500007.

It is an arithmetic number, because the mean of its divisors is an integer number (156500007).

Almost surely, 2^313000013 is an apocalyptic number.

It is an amenable number.

313000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313000013 is an equidigital number, since it uses as much as digits as its factorization.

313000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 313000013 is about 17691.8063803559. The cubic root of 313000013 is about 678.9661430437.

Adding to 313000013 its reverse (310000313), we get a palindrome (623000326).

The spelling of 313000013 in words is "three hundred thirteen million, thirteen", and thus it is an aban number.