13305051313 has 2 divisors, whose sum is σ = 13305051314. Its totient is φ = 13305051312.

The previous prime is 13305051307. The next prime is 13305051329. The reversal of 13305051313 is 31315050331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12411519649 + 893531664 = 111407^2 + 29892^2 .

It is a cyclic number.

It is not a de Polignac number, because 13305051313 - 2²⁹ = 12768180401 is a prime.

It is not a weakly prime, because it can be changed into another prime (13305051113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6652525656 + 6652525657.

It is an arithmetic number, because the mean of its divisors is an integer number (6652525657).

Almost surely, 2^13305051313 is an apocalyptic number.

It is an amenable number.

13305051313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13305051313 is an equidigital number, since it uses as much as digits as its factorization.

13305051313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2025, while the sum is 25.

The spelling of 13305051313 in words is "thirteen billion, three hundred five million, fifty-one thousand, three hundred thirteen".