100130132113 has 12 divisors (see below), whose sum is σ = 110488678020. Its totient is φ = 90673172480.

The previous prime is 100130132083. The next prime is 100130132129. The reversal of 100130132113 is 311231031001.

It can be written as a sum of positive squares in 2 ways, for example, as 96586073089 + 3544059024 = 310783^2 + 59532^2 .

It is not a de Polignac number, because 100130132113 - 2²⁵ = 100096577681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100130132213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1578868 + ... + 1641061.

It is an arithmetic number, because the mean of its divisors is an integer number (9207389835).

Almost surely, 2^100130132113 is an apocalyptic number.

It is an amenable number.

100130132113 is a deficient number, since it is larger than the sum of its proper divisors (10358545907).

100130132113 is a wasteful number, since it uses less digits than its factorization.

100130132113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220208 (or 3220197 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100130132113 its reverse (311231031001), we get a palindrome (411361163114).

The spelling of 100130132113 in words is "one hundred billion, one hundred thirty million, one hundred thirty-two thousand, one hundred thirteen".