130013001 has 12 divisors (see below), whose sum is σ = 188400628. Its totient is φ = 86396544.

The previous prime is 130012913. The next prime is 130013011. The reversal of 130013001 is 100310031.

It can be written as a sum of positive squares in 2 ways, for example, as 53275401 + 76737600 = 7299^2 + 8760^2 .

It is not a de Polignac number, because 130013001 - 2¹¹ = 130010953 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130013011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20260 + ... + 25893.

Almost surely, 2^130013001 is an apocalyptic number.

It is an amenable number.

130013001 is a deficient number, since it is larger than the sum of its proper divisors (58387627).

130013001 is a wasteful number, since it uses less digits than its factorization.

130013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46472 (or 46469 counting only the distinct ones).

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

The square root of 130013001 is about 11402.3243683032. The cubic root of 130013001 is about 506.5965886362.

Adding to 130013001 its reverse (100310031), we get a palindrome (230323032).

The spelling of 130013001 in words is "one hundred thirty million, thirteen thousand, one".