13317688671331 has 16 divisors (see below), whose sum is σ = 15100595827200. Its totient is φ = 11634106730400.

The previous prime is 13317688671323. The next prime is 13317688671407.

It is a happy number.

13317688671331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13317688671331 - 2³ = 13317688671323 is a prime.

It is a super-2 number, since 2×13317688671331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13317688675331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98862171 + ... + 98996788.

It is an arithmetic number, because the mean of its divisors is an integer number (943787239200).

Almost surely, 2^{13317688671331} is an apocalyptic number.

13317688671331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13317688671331 is a deficient number, since it is larger than the sum of its proper divisors (1782907155869).

13317688671331 is a wasteful number, since it uses less digits than its factorization.

13317688671331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197859210.

The product of its digits is 9144576, while the sum is 58.

The spelling of 13317688671331 in words is "thirteen trillion, three hundred seventeen billion, six hundred eighty-eight million, six hundred seventy-one thousand, three hundred thirty-one".