100131310100 has 72 divisors (see below), whose sum is σ = 220999839480. Its totient is φ = 39372974080.

The previous prime is 100131310099. The next prime is 100131310121. The reversal of 100131310100 is 1013131001.

It is a happy number.

100131310100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 3704913424 + 96426396676 = 60868^2 + 310526^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1507184 + ... + 1572216.

It is an arithmetic number, because the mean of its divisors is an integer number (3069442215).

Almost surely, 2^100131310100 is an apocalyptic number.

100131310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110499919740).

100131310100 is an abundant number, since it is smaller than the sum of its proper divisors (120868529380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100131310100 is a wasteful number, since it uses less digits than its factorization.

100131310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65309 (or 65302 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 100131310100 its reverse (1013131001), we get a palindrome (101144441101).

The spelling of 100131310100 in words is "one hundred billion, one hundred thirty-one million, three hundred ten thousand, one hundred".