130513488 has 160 divisors (see below), whose sum is σ = 414902016. Its totient is φ = 34504704.

The previous prime is 130513447. The next prime is 130513499. The reversal of 130513488 is 884315031.

It is a super-2 number, since 2×130513488² = 34067541099852288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416820 + ... + 417132.

Almost surely, 2^130513488 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 130513488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207451008).

130513488 is an abundant number, since it is smaller than the sum of its proper divisors (284388528).

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

130513488 is a wasteful number, since it uses less digits than its factorization.

130513488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 130513488 is about 11424.2499972646. The cubic root of 130513488 is about 507.2458066814.

The spelling of 130513488 in words is "one hundred thirty million, five hundred thirteen thousand, four hundred eighty-eight".