130010111211101 has 24 divisors (see below), whose sum is σ = 150708354060864. Its totient is φ = 111205012423680.

The previous prime is 130010111211083. The next prime is 130010111211103. The reversal of 130010111211101 is 101112111010031.

It is not a de Polignac number, because 130010111211101 - 2¹⁸ = 130010110948957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130010111211103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4359896 + ... + 16704158.

It is an arithmetic number, because the mean of its divisors is an integer number (6279514752536).

Almost surely, 2^{130010111211101} is an apocalyptic number.

130010111211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130010111211101 is a deficient number, since it is larger than the sum of its proper divisors (20698242849763).

130010111211101 is a wasteful number, since it uses less digits than its factorization.

130010111211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12347621 (or 12347604 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 130010111211101 its reverse (101112111010031), we get a palindrome (231122222221132).

The spelling of 130010111211101 in words is "one hundred thirty trillion, ten billion, one hundred eleven million, two hundred eleven thousand, one hundred one".