13183120 has 20 divisors (see below), whose sum is σ = 30650940. Its totient is φ = 5273216.

The previous prime is 13183097. The next prime is 13183123. The reversal of 13183120 is 2138131.

It can be written as a sum of positive squares in 2 ways, for example, as 5253264 + 7929856 = 2292^2 + 2816^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (13183123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82315 + ... + 82474.

It is an arithmetic number, because the mean of its divisors is an integer number (1532547).

Almost surely, 2^13183120 is an apocalyptic number.

13183120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13183120 is an abundant number, since it is smaller than the sum of its proper divisors (17467820).

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

13183120 is a wasteful number, since it uses less digits than its factorization.

13183120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164802 (or 164796 counting only the distinct ones).

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

The square root of 13183120 is about 3630.8566482306. The cubic root of 13183120 is about 236.2323671320.

The spelling of 13183120 in words is "thirteen million, one hundred eighty-three thousand, one hundred twenty".