13131680 has 24 divisors (see below), whose sum is σ = 31023972. Its totient is φ = 5252608.

The previous prime is 13131661. The next prime is 13131719. The reversal of 13131680 is 8613131.

It can be written as a sum of positive squares in 2 ways, for example, as 10784656 + 2347024 = 3284^2 + 1532^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40877 + ... + 41196.

Almost surely, 2^13131680 is an apocalyptic number.

13131680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131680 is an abundant number, since it is smaller than the sum of its proper divisors (17892292).

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

13131680 is an equidigital number, since it uses as much as digits as its factorization.

13131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82088 (or 82080 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 13131680 is about 3623.7659968602. The cubic root of 13131680 is about 235.9247102551.

The spelling of 13131680 in words is "thirteen million, one hundred thirty-one thousand, six hundred eighty".