13413120 has 144 divisors (see below), whose sum is σ = 49056000. Its totient is φ = 3059712.

The previous prime is 13413089. The next prime is 13413121. The reversal of 13413120 is 2131431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13413120.

It is not an unprimeable number, because it can be changed into a prime (13413121) 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, 26631 + ... + 27129.

Almost surely, 2^13413120 is an apocalyptic number.

13413120 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 13413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24528000).

13413120 is an abundant number, since it is smaller than the sum of its proper divisors (35642880).

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

13413120 is an equidigital number, since it uses as much as digits as its factorization.

13413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13413120 is about 3662.3926605431. The cubic root of 13413120 is about 237.5982677378.

Adding to 13413120 its reverse (2131431), we get a palindrome (15544551).

The spelling of 13413120 in words is "thirteen million, four hundred thirteen thousand, one hundred twenty".