13075116520417 has 64 divisors (see below), whose sum is σ = 16399561052160. Its totient is φ = 10169940178944.

The previous prime is 13075116520357. The next prime is 13075116520421. The reversal of 13075116520417 is 71402561157031.

It is a de Polignac number, because none of the positive numbers 2^k-13075116520417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13075116520457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164927334 + ... + 165006592.

It is an arithmetic number, because the mean of its divisors is an integer number (256243141440).

Almost surely, 2^{13075116520417} is an apocalyptic number.

13075116520417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13075116520417 is a deficient number, since it is larger than the sum of its proper divisors (3324444531743).

13075116520417 is a wasteful number, since it uses less digits than its factorization.

13075116520417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79742.

The product of its (nonzero) digits is 176400, while the sum is 43.

Adding to 13075116520417 its reverse (71402561157031), we get a palindrome (84477677677448).

The spelling of 13075116520417 in words is "thirteen trillion, seventy-five billion, one hundred sixteen million, five hundred twenty thousand, four hundred seventeen".