13130880 has 128 divisors (see below), whose sum is σ = 47882880. Its totient is φ = 2998272.

The previous prime is 13130857. The next prime is 13130891. The reversal of 13130880 is 8803131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13130880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12952 + ... + 13928.

It is an arithmetic number, because the mean of its divisors is an integer number (374085).

Almost surely, 2^13130880 is an apocalyptic number.

13130880 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 13130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23941440).

13130880 is an abundant number, since it is smaller than the sum of its proper divisors (34752000).

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

13130880 is an equidigital number, since it uses as much as digits as its factorization.

13130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 13130880 is about 3623.6556127756. The cubic root of 13130880 is about 235.9199192052.

The spelling of 13130880 in words is "thirteen million, one hundred thirty thousand, eight hundred eighty".