100032131321 has 8 divisors (see below), whose sum is σ = 102565396584. Its totient is φ = 97503316480.

The previous prime is 100032131299. The next prime is 100032131341. The reversal of 100032131321 is 123131230001.

It can be written as a sum of positive squares in 4 ways, for example, as 24393721 + 100007737600 = 4939^2 + 316240^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100032131321 - 2²⁶ = 99965022457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100032131321.

It is not an unprimeable number, because it can be changed into a prime (100032131341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1067060 + ... + 1157013.

It is an arithmetic number, because the mean of its divisors is an integer number (12820674573).

Almost surely, 2^100032131321 is an apocalyptic number.

It is an amenable number.

100032131321 is a deficient number, since it is larger than the sum of its proper divisors (2533265263).

100032131321 is a wasteful number, since it uses less digits than its factorization.

100032131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225211.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100032131321 its reverse (123131230001), we get a palindrome (223163361322).

The spelling of 100032131321 in words is "one hundred billion, thirty-two million, one hundred thirty-one thousand, three hundred twenty-one".