100431131021 has 16 divisors (see below), whose sum is σ = 114615088560. Its totient is φ = 87325754880.

The previous prime is 100431130997. The next prime is 100431131033. The reversal of 100431131021 is 120131134001.

It can be written as a sum of positive squares in 8 ways, for example, as 29467498921 + 70963632100 = 171661^2 + 266390^2 .

It is not a de Polignac number, because 100431131021 - 2⁶ = 100431130957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100431131051) 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, 3233270 + ... + 3264183.

It is an arithmetic number, because the mean of its divisors is an integer number (7163443035).

Almost surely, 2^100431131021 is an apocalyptic number.

It is an amenable number.

100431131021 is a deficient number, since it is larger than the sum of its proper divisors (14183957539).

100431131021 is a wasteful number, since it uses less digits than its factorization.

100431131021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6497536.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100431131021 its reverse (120131134001), we get a palindrome (220562265022).

The spelling of 100431131021 in words is "one hundred billion, four hundred thirty-one million, one hundred thirty-one thousand, twenty-one".