130013 has 8 divisors (see below), whose sum is σ = 142968. Its totient is φ = 117504.

The previous prime is 130003. The next prime is 130021. The reversal of 130013 is 310031.

It can be written as a sum of positive squares in 4 ways, for example, as 9604 + 120409 = 98^2 + 347^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130013 - 2⁸ = 129757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 881 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (17871).

2¹³⁰⁰¹³ is an apocalyptic number.

130013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130013 is a deficient number, since it is larger than the sum of its proper divisors (12955).

130013 is a wasteful number, since it uses less digits than its factorization.

130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 130013 is about 360.5731548521. The cubic root of 130013 is about 50.6596587337.

Adding to 130013 its reverse (310031), we get a palindrome (440044).

It can be divided in two parts, 1300 and 13, that multiplied together give a square (16900 = 130²).

The spelling of 130013 in words is "one hundred thirty thousand, thirteen".