130913328 has 320 divisors, whose sum is σ = 461970432. Its totient is φ = 30965760.

The previous prime is 130913303. The next prime is 130913329. The reversal of 130913328 is 823319031.

It is a junction number, because it is equal to n+sod(n) for n = 130913295 and 130913304.

It is not an unprimeable number, because it can be changed into a prime (130913329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3044475 + ... + 3044517.

Almost surely, 2^130913328 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 130913328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230985216).

130913328 is an abundant number, since it is smaller than the sum of its proper divisors (331057104).

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

130913328 is a wasteful number, since it uses less digits than its factorization.

130913328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 130913328 is about 11441.7362318837. The cubic root of 130913328 is about 507.7632765662.

The spelling of 130913328 in words is "one hundred thirty million, nine hundred thirteen thousand, three hundred twenty-eight".