13138661375 has 64 divisors (see below), whose sum is σ = 19123872768. Its totient is φ = 8826480000.

The previous prime is 13138661339. The next prime is 13138661387. The reversal of 13138661375 is 57316683131.

It is a Cunningham number, because it is equal to 114624²-1.

It is not a de Polignac number, because 13138661375 - 2¹⁰ = 13138660351 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9513185 + ... + 9514565.

It is an arithmetic number, because the mean of its divisors is an integer number (298810512).

Almost surely, 2^13138661375 is an apocalyptic number.

13138661375 is a deficient number, since it is larger than the sum of its proper divisors (5985211393).

13138661375 is a wasteful number, since it uses less digits than its factorization.

13138661375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1607 counting only the distinct ones).

The product of its digits is 272160, while the sum is 44.

The spelling of 13138661375 in words is "thirteen billion, one hundred thirty-eight million, six hundred sixty-one thousand, three hundred seventy-five".