313000210013 has 2 divisors, whose sum is σ = 313000210014. Its totient is φ = 313000210012.

The previous prime is 313000209971. The next prime is 313000210043. The reversal of 313000210013 is 310012000313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232581459289 + 80418750724 = 482267^2 + 283582^2 .

It is an emirp because it is prime and its reverse (310012000313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313000210013 - 2¹⁴ = 313000193629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313000210013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313000210043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156500105006 + 156500105007.

It is an arithmetic number, because the mean of its divisors is an integer number (156500105007).

Almost surely, 2^313000210013 is an apocalyptic number.

It is an amenable number.

313000210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313000210013 is an equidigital number, since it uses as much as digits as its factorization.

313000210013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 313000210013 its reverse (310012000313), we get a palindrome (623012210326).

The spelling of 313000210013 in words is "three hundred thirteen billion, two hundred ten thousand, thirteen".