313011133313 has 2 divisors, whose sum is σ = 313011133314. Its totient is φ = 313011133312.

The previous prime is 313011133297. The next prime is 313011133333. The reversal of 313011133313 is 313331110313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 262213636624 + 50797496689 = 512068^2 + 225383^2 .

It is a cyclic number.

It is not a de Polignac number, because 313011133313 - 2⁴ = 313011133297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (313011133333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156505566656 + 156505566657.

It is an arithmetic number, because the mean of its divisors is an integer number (156505566657).

Almost surely, 2^313011133313 is an apocalyptic number.

It is an amenable number.

313011133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313011133313 is an equidigital number, since it uses as much as digits as its factorization.

313011133313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 313011133313 its reverse (313331110313), we get a palindrome (626342243626).

The spelling of 313011133313 in words is "three hundred thirteen billion, eleven million, one hundred thirty-three thousand, three hundred thirteen".