130011580 has 48 divisors (see below), whose sum is σ = 290122560. Its totient is φ = 48770048.

The previous prime is 130011569. The next prime is 130011587. The reversal of 130011580 is 85110031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130011587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131769 + ... + 132751.

It is an arithmetic number, because the mean of its divisors is an integer number (6044220).

Almost surely, 2^130011580 is an apocalyptic number.

130011580 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 130011580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145061280).

130011580 is an abundant number, since it is smaller than the sum of its proper divisors (160110980).

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

130011580 is a wasteful number, since it uses less digits than its factorization.

130011580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 130011580 is about 11402.2620562764. The cubic root of 130011580 is about 506.5947429839.

It can be divided in two parts, 1300 and 11580, that added together give a triangular number (12880 = T₁₆₀).

The spelling of 130011580 in words is "one hundred thirty million, eleven thousand, five hundred eighty".