13133786716417 has 16 divisors (see below), whose sum is σ = 14638567095360. Its totient is φ = 11710388270592.

The previous prime is 13133786716411. The next prime is 13133786716481. The reversal of 13133786716417 is 71461768733131.

It is not a de Polignac number, because 13133786716417 - 2⁷ = 13133786716289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13133786716411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17040093 + ... + 17794165.

It is an arithmetic number, because the mean of its divisors is an integer number (914910443460).

Almost surely, 2^{13133786716417} is an apocalyptic number.

13133786716417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13133786716417 is a deficient number, since it is larger than the sum of its proper divisors (1504780378943).

13133786716417 is a wasteful number, since it uses less digits than its factorization.

13133786716417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808032.

The product of its digits is 10668672, while the sum is 58.

The spelling of 13133786716417 in words is "thirteen trillion, one hundred thirty-three billion, seven hundred eighty-six million, seven hundred sixteen thousand, four hundred seventeen".