100113331021133 has 2 divisors, whose sum is σ = 100113331021134. Its totient is φ = 100113331021132.

The previous prime is 100113331021079. The next prime is 100113331021153. The reversal of 100113331021133 is 331120133311001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92002665607204 + 8110665413929 = 9591802^2 + 2847923^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100113331021133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100113331021099 and 100113331021108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100113331021153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056665510566 + 50056665510567.

It is an arithmetic number, because the mean of its divisors is an integer number (50056665510567).

Almost surely, 2^{100113331021133} is an apocalyptic number.

It is an amenable number.

100113331021133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113331021133 is an equidigital number, since it uses as much as digits as its factorization.

100113331021133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 100113331021133 its reverse (331120133311001), we get a palindrome (431233464332134).

The spelling of 100113331021133 in words is "one hundred trillion, one hundred thirteen billion, three hundred thirty-one million, twenty-one thousand, one hundred thirty-three".