13131280 has 80 divisors (see below), whose sum is σ = 32944320. Its totient is φ = 4852224.

The previous prime is 13131271. The next prime is 13131281. The reversal of 13131280 is 8213131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80479 + ... + 80641.

It is an arithmetic number, because the mean of its divisors is an integer number (411804).

Almost surely, 2^13131280 is an apocalyptic number.

13131280 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 13131280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472160).

13131280 is an abundant number, since it is smaller than the sum of its proper divisors (19813040).

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

13131280 is a wasteful number, since it uses less digits than its factorization.

13131280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

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

The square root of 13131280 is about 3623.7108052382. The cubic root of 13131280 is about 235.9223147544.

The spelling of 13131280 in words is "thirteen million, one hundred thirty-one thousand, two hundred eighty".