13305120 has 96 divisors (see below), whose sum is σ = 42783552. Its totient is φ = 3474432.

The previous prime is 13305119. The next prime is 13305133. The reversal of 13305120 is 2150331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×13305120³ (a number of 22 digits) contains 333 as substring.

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 13305120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25179 + ... + 25701.

It is an arithmetic number, because the mean of its divisors is an integer number (445662).

Almost surely, 2^13305120 is an apocalyptic number.

13305120 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 13305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21391776).

13305120 is an abundant number, since it is smaller than the sum of its proper divisors (29478432).

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

13305120 is a wasteful number, since it uses less digits than its factorization.

13305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13305120 is about 3647.6184010941. The cubic root of 13305120 is about 236.9588491639.

Adding to 13305120 its reverse (2150331), we get a palindrome (15455451).

The spelling of 13305120 in words is "thirteen million, three hundred five thousand, one hundred twenty".