13057128 has 72 divisors (see below), whose sum is σ = 41147730. Its totient is φ = 3729600.

The previous prime is 13057127. The next prime is 13057129. The reversal of 13057128 is 82175031.

13057128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13057127) and next prime (13057129).

It can be written as a sum of positive squares in only one way, i.e., 11573604 + 1483524 = 3402^2 + 1218^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13057127) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1678 + ... + 5378.

Almost surely, 2^13057128 is an apocalyptic number.

13057128 is a gapful number since it is divisible by the number (18) 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 13057128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20573865).

13057128 is an abundant number, since it is smaller than the sum of its proper divisors (28090602).

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

13057128 is a wasteful number, since it uses less digits than its factorization.

13057128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13057128 is about 3613.4648192559. The cubic root of 13057128 is about 235.4773938028.

The spelling of 13057128 in words is "thirteen million, fifty-seven thousand, one hundred twenty-eight".