13088127936017 has 2 divisors, whose sum is σ = 13088127936018. Its totient is φ = 13088127936016.

The previous prime is 13088127935791. The next prime is 13088127936019. The reversal of 13088127936017 is 71063972188031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12643990993921 + 444136942096 = 3555839^2 + 666436^2 .

It is a cyclic number.

It is not a de Polignac number, because 13088127936017 - 2⁴⁰ = 11988616308241 is a prime.

Together with 13088127936019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13088127936019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6544063968008 + 6544063968009.

It is an arithmetic number, because the mean of its divisors is an integer number (6544063968009).

Almost surely, 2^{13088127936017} is an apocalyptic number.

It is an amenable number.

13088127936017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13088127936017 is an equidigital number, since it uses as much as digits as its factorization.

13088127936017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3048192, while the sum is 56.

The spelling of 13088127936017 in words is "thirteen trillion, eighty-eight billion, one hundred twenty-seven million, nine hundred thirty-six thousand, seventeen".