13057320 has 64 divisors (see below), whose sum is σ = 39424320. Its totient is φ = 3459584.

The previous prime is 13057277. The next prime is 13057321. The reversal of 13057320 is 2375031.

It is a happy number.

13057320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13057321) 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, 27727 + ... + 28193.

It is an arithmetic number, because the mean of its divisors is an integer number (616005).

Almost surely, 2^13057320 is an apocalyptic number.

13057320 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 13057320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19712160).

13057320 is an abundant number, since it is smaller than the sum of its proper divisors (26367000).

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

13057320 is a wasteful number, since it uses less digits than its factorization.

13057320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 13057320 is about 3613.4913864571. The cubic root of 13057320 is about 235.4785479984.

The spelling of 13057320 in words is "thirteen million, fifty-seven thousand, three hundred twenty".