13388111513289 has 24 divisors (see below), whose sum is σ = 19586644272000. Its totient is φ = 8810865741600.

The previous prime is 13388111513251. The next prime is 13388111513333. The reversal of 13388111513289 is 98231511188331.

13388111513289 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 8 + 111 + 513 + 2 + 8 + 9 = 666.

It is not a de Polignac number, because 13388111513289 - 2¹⁵ = 13388111480521 is a prime.

It is a super-2 number, since 2×13388111513289² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13388111513209) 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 23 ways as a sum of consecutive naturals, for example, 2351787 + ... + 5683935.

It is an arithmetic number, because the mean of its divisors is an integer number (816110178000).

Almost surely, 2^{13388111513289} is an apocalyptic number.

It is an amenable number.

13388111513289 is a deficient number, since it is larger than the sum of its proper divisors (6198532758711).

13388111513289 is a wasteful number, since it uses less digits than its factorization.

13388111513289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337885 (or 3337882 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The spelling of 13388111513289 in words is "thirteen trillion, three hundred eighty-eight billion, one hundred eleven million, five hundred thirteen thousand, two hundred eighty-nine".