13381875 has 80 divisors (see below), whose sum is σ = 27116320. Its totient is φ = 6480000.

The previous prime is 13381859. The next prime is 13381891. The reversal of 13381875 is 57818331.

13381875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13381859) and next prime (13381891).

It is not a de Polignac number, because 13381875 - 2⁴ = 13381859 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 219345 + ... + 219405.

It is an arithmetic number, because the mean of its divisors is an integer number (338954).

Almost surely, 2^13381875 is an apocalyptic number.

13381875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13381875 is an abundant number, since it is smaller than the sum of its proper divisors (13734445).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13381875 is an equidigital number, since it uses as much as digits as its factorization.

13381875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 13381875 is about 3658.1245194772. The cubic root of 13381875 is about 237.4136343407.

The spelling of 13381875 in words is "thirteen million, three hundred eighty-one thousand, eight hundred seventy-five".