13349120 has 36 divisors (see below), whose sum is σ = 31978380. Its totient is φ = 5339136.

The previous prime is 13349111. The next prime is 13349123. The reversal of 13349120 is 2194331.

It can be written as a sum of positive squares in 2 ways, for example, as 10137856 + 3211264 = 3184^2 + 1792^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13349123) 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, 3935 + ... + 6494.

Almost surely, 2^13349120 is an apocalyptic number.

13349120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13349120 is an abundant number, since it is smaller than the sum of its proper divisors (18629260).

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

13349120 is an equidigital number, since it uses as much as digits as its factorization.

13349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450 (or 10436 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 13349120 is about 3653.6447555831. The cubic root of 13349120 is about 237.2197692034.

The spelling of 13349120 in words is "thirteen million, three hundred forty-nine thousand, one hundred twenty".