130013130021003 has 64 divisors (see below), whose sum is σ = 195204556800000. Its totient is φ = 85515833006208.

The previous prime is 130013130021001. The next prime is 130013130021007. The reversal of 130013130021003 is 300120031310031.

It is a happy number.

130013130021003 is a `hidden beast` number, since 130 + 0 + 131 + 300 + 2 + 100 + 3 = 666.

It is not a de Polignac number, because 130013130021003 - 2¹ = 130013130021001 is a prime.

It is a super-2 number, since 2×130013130021003² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130013130021001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1805726998 + ... + 1805798996.

It is an arithmetic number, because the mean of its divisors is an integer number (3050071200000).

Almost surely, 2^{130013130021003} is an apocalyptic number.

130013130021003 is a deficient number, since it is larger than the sum of its proper divisors (65191426778997).

130013130021003 is a wasteful number, since it uses less digits than its factorization.

130013130021003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74713 (or 74707 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130013130021003 its reverse (300120031310031), we get a palindrome (430133161331034).

The spelling of 130013130021003 in words is "one hundred thirty trillion, thirteen billion, one hundred thirty million, twenty-one thousand, three".