413317067520113 has 2 divisors, whose sum is σ = 413317067520114. Its totient is φ = 413317067520112.

The previous prime is 413317067520083. The next prime is 413317067520121. The reversal of 413317067520113 is 311025760713314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216964445062369 + 196352622457744 = 14729713^2 + 14012588^2 .

It is a cyclic number.

It is not a de Polignac number, because 413317067520113 - 2³⁸ = 413042189613169 is a prime.

It is not a weakly prime, because it can be changed into another prime (413317067525113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206658533760056 + 206658533760057.

It is an arithmetic number, because the mean of its divisors is an integer number (206658533760057).

Almost surely, 2^{413317067520113} is an apocalyptic number.

It is an amenable number.

413317067520113 is a deficient number, since it is larger than the sum of its proper divisors (1).

413317067520113 is an equidigital number, since it uses as much as digits as its factorization.

413317067520113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 413317067520113 in words is "four hundred thirteen trillion, three hundred seventeen billion, sixty-seven million, five hundred twenty thousand, one hundred thirteen".