13013051351017 has 2 divisors, whose sum is σ = 13013051351018. Its totient is φ = 13013051351016.

The previous prime is 13013051351009. The next prime is 13013051351021. The reversal of 13013051351017 is 71015315031031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11152367114256 + 1860684236761 = 3339516^2 + 1364069^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013051351017 - 2³ = 13013051351009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13013051351017.

It is not a weakly prime, because it can be changed into another prime (13013051351057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506525675508 + 6506525675509.

It is an arithmetic number, because the mean of its divisors is an integer number (6506525675509).

Almost surely, 2^{13013051351017} is an apocalyptic number.

It is an amenable number.

13013051351017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013051351017 is an equidigital number, since it uses as much as digits as its factorization.

13013051351017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4725, while the sum is 31.

Adding to 13013051351017 its reverse (71015315031031), we get a palindrome (84028366382048).

The spelling of 13013051351017 in words is "thirteen trillion, thirteen billion, fifty-one million, three hundred fifty-one thousand, seventeen".