130813 has 4 divisors (see below), whose sum is σ = 131580. Its totient is φ = 130048.

The previous prime is 130811. The next prime is 130817. The reversal of 130813 is 318031.

130813 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 318031 = 7 ⋅45433.

It can be written as a sum of positive squares in 2 ways, for example, as 120409 + 10404 = 347^2 + 102^2 .

It is a cyclic number.

It is not a de Polignac number, because 130813 - 2¹ = 130811 is a prime.

It is a super-3 number, since 3×130813³ = 6715432245833391, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130811) 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, 3 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (32895).

2¹³⁰⁸¹³ is an apocalyptic number.

It is an amenable number.

130813 is a deficient number, since it is larger than the sum of its proper divisors (767).

130813 is an equidigital number, since it uses as much as digits as its factorization.

130813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 130813 is about 361.6807984950. The cubic root of 130813 is about 50.7633531963.

Adding to 130813 its reverse (318031), we get a palindrome (448844).

The spelling of 130813 in words is "one hundred thirty thousand, eight hundred thirteen".