13381920 has 72 divisors (see below), whose sum is σ = 45670716. Its totient is φ = 3568128.

The previous prime is 13381919. The next prime is 13381931. The reversal of 13381920 is 2918331.

It can be written as a sum of positive squares in 2 ways, for example, as 12027024 + 1354896 = 3468^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3207 + ... + 6086.

Almost surely, 2^13381920 is an apocalyptic number.

13381920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13381920 is an abundant number, since it is smaller than the sum of its proper divisors (32288796).

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

13381920 is a wasteful number, since it uses less digits than its factorization.

13381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9314 (or 9303 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13381920 is about 3658.1306701647. The cubic root of 13381920 is about 237.4139004619.

It can be divided in two parts, 1 and 3381920, that added together give a square (3381921 = 1839²).

The spelling of 13381920 in words is "thirteen million, three hundred eighty-one thousand, nine hundred twenty".