13002138387 has 80 divisors (see below), whose sum is σ = 23843776000. Its totient is φ = 7038465840.

The previous prime is 13002138361. The next prime is 13002138397. The reversal of 13002138387 is 78383120031.

It is not a de Polignac number, because 13002138387 - 2⁸ = 13002138131 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13002138397) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 515562 + ... + 540192.

It is an arithmetic number, because the mean of its divisors is an integer number (298047200).

Almost surely, 2^13002138387 is an apocalyptic number.

13002138387 is a deficient number, since it is larger than the sum of its proper divisors (10841637613).

13002138387 is an equidigital number, since it uses as much as digits as its factorization.

13002138387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24683 (or 24660 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13002138387 in words is "thirteen billion, two million, one hundred thirty-eight thousand, three hundred eighty-seven".