130010013 has 12 divisors (see below), whose sum is σ = 214619808. Its totient is φ = 74291400.

The previous prime is 130010009. The next prime is 130010047. The reversal of 130010013 is 310010031.

It is not a de Polignac number, because 130010013 - 2² = 130010009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 130009977 and 130010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130010213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1031763 + ... + 1031888.

It is an arithmetic number, because the mean of its divisors is an integer number (17884984).

Almost surely, 2^130010013 is an apocalyptic number.

It is an amenable number.

130010013 is a deficient number, since it is larger than the sum of its proper divisors (84609795).

130010013 is a wasteful number, since it uses less digits than its factorization.

130010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063664 (or 2063661 counting only the distinct ones).

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

The square root of 130010013 is about 11402.1933416339. The cubic root of 130010013 is about 506.5927076853.

Adding to 130010013 its reverse (310010031), we get a palindrome (440020044).

The spelling of 130010013 in words is "one hundred thirty million, ten thousand, thirteen".