130313 has 4 divisors (see below), whose sum is σ = 131328. Its totient is φ = 129300.

The previous prime is 130307. The next prime is 130337. The reversal of 130313 is 313031.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 130313 - 2⁸ = 130057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130294 and 130303.

It is not an unprimeable number, because it can be changed into a prime (130303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 281 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (32832).

2¹³⁰³¹³ is an apocalyptic number.

It is an amenable number.

130313 is a deficient number, since it is larger than the sum of its proper divisors (1015).

130313 is an equidigital number, since it uses as much as digits as its factorization.

130313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 130313 is about 360.9889194975. The cubic root of 130313 is about 50.6985938737.

Adding to 130313 its reverse (313031), we get a palindrome (443344).

It can be divided in two parts, 13031 and 3, that multiplied together give a palindrome (39093).

The spelling of 130313 in words is "one hundred thirty thousand, three hundred thirteen".