130713 has 16 divisors (see below), whose sum is σ = 202176. Its totient is φ = 74240.

The previous prime is 130699. The next prime is 130729. The reversal of 130713 is 317031.

It is a cyclic number.

It is not a de Polignac number, because 130713 - 2⁵ = 130681 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130692 and 130701.

It is not an unprimeable number, because it can be changed into a prime (130783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (12636).

2¹³⁰⁷¹³ is an apocalyptic number.

It is an amenable number.

130713 is a deficient number, since it is larger than the sum of its proper divisors (71463).

130713 is a wasteful number, since it uses less digits than its factorization.

130713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 130713 is about 361.5425286187. The cubic root of 130713 is about 50.7504145501.

Adding to 130713 its reverse (317031), we get a palindrome (447744).

The spelling of 130713 in words is "one hundred thirty thousand, seven hundred thirteen".