131110100001 has 24 divisors (see below), whose sum is σ = 201872112000. Its totient is φ = 81758188512.

The previous prime is 131110099987. The next prime is 131110100027. The reversal of 131110100001 is 100001011131.

It is not a de Polignac number, because 131110100001 - 2⁵ = 131110099969 is a prime.

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 (131110100081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4839186 + ... + 4866203.

It is an arithmetic number, because the mean of its divisors is an integer number (8411338000).

Almost surely, 2^131110100001 is an apocalyptic number.

It is an amenable number.

131110100001 is a deficient number, since it is larger than the sum of its proper divisors (70762011999).

131110100001 is a wasteful number, since it uses less digits than its factorization.

131110100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9705493 (or 9705490 counting only the distinct ones).

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

Adding to 131110100001 its reverse (100001011131), we get a palindrome (231111111132).

The spelling of 131110100001 in words is "one hundred thirty-one billion, one hundred ten million, one hundred thousand, one".