100131031021 has 12 divisors (see below), whose sum is σ = 118453177440. Its totient is φ = 84371907480.

The previous prime is 100131030983. The next prime is 100131031027. The reversal of 100131031021 is 120130131001.

It is not a de Polignac number, because 100131031021 - 2⁹ = 100131030509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100131030992 and 100131031010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131031027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17314825 + ... + 17320606.

It is an arithmetic number, because the mean of its divisors is an integer number (9871098120).

Almost surely, 2^100131031021 is an apocalyptic number.

It is an amenable number.

100131031021 is a deficient number, since it is larger than the sum of its proper divisors (18322146419).

100131031021 is an equidigital number, since it uses as much as digits as its factorization.

100131031021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34635504 (or 34635497 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100131031021 its reverse (120130131001), we get a palindrome (220261162022).

The spelling of 100131031021 in words is "one hundred billion, one hundred thirty-one million, thirty-one thousand, twenty-one".