100113130133 has 2 divisors, whose sum is σ = 100113130134. Its totient is φ = 100113130132.

The previous prime is 100113130127. The next prime is 100113130157. The reversal of 100113130133 is 331031311001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99945764164 + 167365969 = 316142^2 + 12937^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113130133 - 2²⁰ = 100112081557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100113130333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056565066 + 50056565067.

It is an arithmetic number, because the mean of its divisors is an integer number (50056565067).

Almost surely, 2^100113130133 is an apocalyptic number.

It is an amenable number.

100113130133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113130133 is an equidigital number, since it uses as much as digits as its factorization.

100113130133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 100113130133 its reverse (331031311001), we get a palindrome (431144441134).

The spelling of 100113130133 in words is "one hundred billion, one hundred thirteen million, one hundred thirty thousand, one hundred thirty-three".