13128320 has 64 divisors (see below), whose sum is σ = 31928040. Its totient is φ = 5160960.

The previous prime is 13128319. The next prime is 13128337. The reversal of 13128320 is 2382131.

It can be written as a sum of positive squares in 4 ways, for example, as 11669056 + 1459264 = 3416^2 + 1208^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13128292 and 13128301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46580 + ... + 46860.

Almost surely, 2^13128320 is an apocalyptic number.

13128320 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 13128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964020).

13128320 is an abundant number, since it is smaller than the sum of its proper divisors (18799720).

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

13128320 is an equidigital number, since it uses as much as digits as its factorization.

13128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 13128320 is about 3623.3023611065. The cubic root of 13128320 is about 235.9045865378.

The spelling of 13128320 in words is "thirteen million, one hundred twenty-eight thousand, three hundred twenty".