130111331101 has 16 divisors (see below), whose sum is σ = 134405312688. Its totient is φ = 125903232000.

The previous prime is 130111331093. The next prime is 130111331137. The reversal of 130111331101 is 101133111031.

It can be written as a sum of positive squares in 8 ways, for example, as 7562500 + 130103768601 = 2750^2 + 360699^2 .

It is a cyclic number.

It is not a de Polignac number, because 130111331101 - 2³ = 130111331093 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 (130111331171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 900021 + ... + 1034533.

It is an arithmetic number, because the mean of its divisors is an integer number (8400332043).

Almost surely, 2^130111331101 is an apocalyptic number.

It is an amenable number.

130111331101 is a deficient number, since it is larger than the sum of its proper divisors (4293981587).

130111331101 is a wasteful number, since it uses less digits than its factorization.

130111331101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134832.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 130111331101 its reverse (101133111031), we get a palindrome (231244442132).

The spelling of 130111331101 in words is "one hundred thirty billion, one hundred eleven million, three hundred thirty-one thousand, one hundred one".