100131202321 has 16 divisors (see below), whose sum is σ = 101949857280. Its totient is φ = 98329207680.

The previous prime is 100131202279. The next prime is 100131202337. The reversal of 100131202321 is 123202131001.

It is a cyclic number.

It is not a de Polignac number, because 100131202321 - 2¹³ = 100131194129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100131202295 and 100131202304.

It is not an unprimeable number, because it can be changed into a prime (100131202361) 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, 17287936 + ... + 17293726.

It is an arithmetic number, because the mean of its divisors is an integer number (6371866080).

Almost surely, 2^100131202321 is an apocalyptic number.

It is an amenable number.

100131202321 is a deficient number, since it is larger than the sum of its proper divisors (1818654959).

100131202321 is a wasteful number, since it uses less digits than its factorization.

100131202321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7176.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100131202321 its reverse (123202131001), we get a palindrome (223333333322).

The spelling of 100131202321 in words is "one hundred billion, one hundred thirty-one million, two hundred two thousand, three hundred twenty-one".