101110000131 has 24 divisors (see below), whose sum is σ = 166954744320. Its totient is φ = 57762259056.

The previous prime is 101110000111. The next prime is 101110000133. The reversal of 101110000131 is 131000011101.

It is not a de Polignac number, because 101110000131 - 2⁵ = 101110000099 is a prime.

It is a super-2 number, since 2×101110000131² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101110000133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42136 + ... + 451658.

It is an arithmetic number, because the mean of its divisors is an integer number (6956447680).

Almost surely, 2^101110000131 is an apocalyptic number.

101110000131 is a deficient number, since it is larger than the sum of its proper divisors (65844744189).

101110000131 is a wasteful number, since it uses less digits than its factorization.

101110000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413455 (or 413452 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 101110000131 its reverse (131000011101), we get a palindrome (232110011232).

The spelling of 101110000131 in words is "one hundred one billion, one hundred ten million, one hundred thirty-one", and thus it is an aban number.