130013202311001 has 12 divisors (see below), whose sum is σ = 187796947643812. Its totient is φ = 86675422117536.

The previous prime is 130013202310993. The next prime is 130013202311029. The reversal of 130013202311001 is 100113202310031.

130013202311001 is a `hidden beast` number, since 1 + 30 + 0 + 1 + 320 + 2 + 311 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72294614885376 + 57718587425625 = 8502624^2 + 7597275^2 .

It is not a de Polignac number, because 130013202311001 - 2³ = 130013202310993 is a prime.

It is a super-2 number, since 2×130013202311001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130013202311801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27392115 + ... + 31786071.

Almost surely, 2^{130013202311001} is an apocalyptic number.

It is an amenable number.

130013202311001 is a deficient number, since it is larger than the sum of its proper divisors (57783745332811).

130013202311001 is a wasteful number, since it uses less digits than its factorization.

130013202311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7681640 (or 7681637 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130013202311001 its reverse (100113202310031), we get a palindrome (230126404621032).

The spelling of 130013202311001 in words is "one hundred thirty trillion, thirteen billion, two hundred two million, three hundred eleven thousand, one".