100113131332110 has 128 divisors (see below), whose sum is σ = 261140942684160. Its totient is φ = 24415921414656.

The previous prime is 100113131332009. The next prime is 100113131332129. The reversal of 100113131332110 is 11233131311001.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1077284467 + ... + 1077377393.

It is an arithmetic number, because the mean of its divisors is an integer number (2040163614720).

Almost surely, 2^{100113131332110} is an apocalyptic number.

100113131332110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100113131332110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130570471342080).

100113131332110 is an abundant number, since it is smaller than the sum of its proper divisors (161027811352050).

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

100113131332110 is a wasteful number, since it uses less digits than its factorization.

100113131332110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118402.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 100113131332110 its reverse (11233131311001), we get a palindrome (111346262643111).

The spelling of 100113131332110 in words is "one hundred trillion, one hundred thirteen billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred ten".