130727313 has 12 divisors (see below), whose sum is σ = 189428148. Its totient is φ = 86874720.

The previous prime is 130727299. The next prime is 130727329. The reversal of 130727313 is 313727031.

It can be written as a sum of positive squares in 2 ways, for example, as 77845329 + 52881984 = 8823^2 + 7272^2 .

It is not a de Polignac number, because 130727313 - 2⁵ = 130727281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130727413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20058 + ... + 25763.

It is an arithmetic number, because the mean of its divisors is an integer number (15785679).

Almost surely, 2^130727313 is an apocalyptic number.

It is an amenable number.

130727313 is a deficient number, since it is larger than the sum of its proper divisors (58700835).

130727313 is a wasteful number, since it uses less digits than its factorization.

130727313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46144 (or 46141 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 130727313 is about 11433.6045497472. The cubic root of 130727313 is about 507.5226686308.

The spelling of 130727313 in words is "one hundred thirty million, seven hundred twenty-seven thousand, three hundred thirteen".