13130128 has 40 divisors (see below), whose sum is σ = 28230336. Its totient is φ = 5865600.

The previous prime is 13130123. The next prime is 13130129. The reversal of 13130128 is 82103131.

It is a super-2 number, since 2×13130128² = 344800522592768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13130123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10125 + ... + 11347.

Almost surely, 2^13130128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115168).

13130128 is an abundant number, since it is smaller than the sum of its proper divisors (15100208).

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

13130128 is a wasteful number, since it uses less digits than its factorization.

13130128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 13130128 is about 3623.5518486700. The cubic root of 13130128 is about 235.9154154409.

Adding to 13130128 its reverse (82103131), we get a palindrome (95233259).

The spelling of 13130128 in words is "thirteen million, one hundred thirty thousand, one hundred twenty-eight".