13381120 has 40 divisors (see below), whose sum is σ = 32089464. Its totient is φ = 5351424.

The previous prime is 13381117. The next prime is 13381153. The reversal of 13381120 is 2118331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54 + ... + 5173.

Almost surely, 2^13381120 is an apocalyptic number.

13381120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16044732).

13381120 is an abundant number, since it is smaller than the sum of its proper divisors (18708344).

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

13381120 is an frugal number, since it uses more digits than its factorization.

13381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 13381120 is about 3658.0213230652. The cubic root of 13381120 is about 237.4091693295.

Adding to 13381120 its reverse (2118331), we get a palindrome (15499451).

The spelling of 13381120 in words is "thirteen million, three hundred eighty-one thousand, one hundred twenty".