13700800313 has 2 divisors, whose sum is σ = 13700800314. Its totient is φ = 13700800312.

The previous prime is 13700800297. The next prime is 13700800367. The reversal of 13700800313 is 31300800731.

13700800313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13468298809 + 232501504 = 116053^2 + 15248^2 .

It is a cyclic number.

It is not a de Polignac number, because 13700800313 - 2⁴ = 13700800297 is a prime.

It is not a weakly prime, because it can be changed into another prime (13700800213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6850400156 + 6850400157.

It is an arithmetic number, because the mean of its divisors is an integer number (6850400157).

Almost surely, 2^13700800313 is an apocalyptic number.

It is an amenable number.

13700800313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13700800313 is an equidigital number, since it uses as much as digits as its factorization.

13700800313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The spelling of 13700800313 in words is "thirteen billion, seven hundred million, eight hundred thousand, three hundred thirteen".