13131360 has 144 divisors (see below), whose sum is σ = 48943440. Its totient is φ = 3179520.

The previous prime is 13131359. The next prime is 13131373. The reversal of 13131360 is 6313131.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15426 + ... + 16254.

It is an arithmetic number, because the mean of its divisors is an integer number (339885).

Almost surely, 2^13131360 is an apocalyptic number.

13131360 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 13131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24471720).

13131360 is an abundant number, since it is smaller than the sum of its proper divisors (35812080).

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

13131360 is a wasteful number, since it uses less digits than its factorization.

13131360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 13131360 is about 3623.7218436298. The cubic root of 13131360 is about 235.9227938585.

Adding to 13131360 its reverse (6313131), we get a palindrome (19444491).

The spelling of 13131360 in words is "thirteen million, one hundred thirty-one thousand, three hundred sixty".