130113585 has 48 divisors (see below), whose sum is σ = 262154880. Its totient is φ = 58464000.

The previous prime is 130113583. The next prime is 130113689. The reversal of 130113585 is 585311031.

130113585 is a `hidden beast` number, since 1 + 301 + 1 + 358 + 5 = 666.

It is not a de Polignac number, because 130113585 - 2¹ = 130113583 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130113583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15085 + ... + 22085.

It is an arithmetic number, because the mean of its divisors is an integer number (5461560).

Almost surely, 2^130113585 is an apocalyptic number.

130113585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130113585 is an abundant number, since it is smaller than the sum of its proper divisors (132041295).

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

130113585 is a wasteful number, since it uses less digits than its factorization.

130113585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7075 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 130113585 is about 11406.7341952024. The cubic root of 130113585 is about 506.7271970523.

The spelling of 130113585 in words is "one hundred thirty million, one hundred thirteen thousand, five hundred eighty-five".