130120013 has 8 divisors (see below), whose sum is σ = 136231200. Its totient is φ = 124117168.

The previous prime is 130120007. The next prime is 130120033. The reversal of 130120013 is 310021031.

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 130120013 - 2⁸ = 130119757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130119976 and 130120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130120033) 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, 24623 + ... + 29436.

It is an arithmetic number, because the mean of its divisors is an integer number (17028900).

Almost surely, 2^130120013 is an apocalyptic number.

It is an amenable number.

130120013 is a deficient number, since it is larger than the sum of its proper divisors (6111187).

130120013 is an equidigital number, since it uses as much as digits as its factorization.

130120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54171.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 130120013 is about 11407.0159551041. The cubic root of 130120013 is about 506.7355415276.

Adding to 130120013 its reverse (310021031), we get a palindrome (440141044).

The spelling of 130120013 in words is "one hundred thirty million, one hundred twenty thousand, thirteen".