100131311021 has 32 divisors (see below), whose sum is σ = 119220019200. Its totient is φ = 82293330240.

The previous prime is 100131310999. The next prime is 100131311039. The reversal of 100131311021 is 120113131001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100131311021 - 2²² = 100127116717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100131310987 and 100131311005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131311081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10988015 + ... + 10997123.

It is an arithmetic number, because the mean of its divisors is an integer number (3725625600).

Almost surely, 2^100131311021 is an apocalyptic number.

It is an amenable number.

100131311021 is a deficient number, since it is larger than the sum of its proper divisors (19088708179).

100131311021 is a wasteful number, since it uses less digits than its factorization.

100131311021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9609.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100131311021 its reverse (120113131001), we get a palindrome (220244442022).

The spelling of 100131311021 in words is "one hundred billion, one hundred thirty-one million, three hundred eleven thousand, twenty-one".