100133233133 has 2 divisors, whose sum is σ = 100133233134. Its totient is φ = 100133233132.

The previous prime is 100133233121. The next prime is 100133233141. The reversal of 100133233133 is 331332331001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76669733449 + 23463499684 = 276893^2 + 153178^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133233133 - 2¹⁸ = 100132970989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100133233099 and 100133233108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133233433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066616566 + 50066616567.

It is an arithmetic number, because the mean of its divisors is an integer number (50066616567).

Almost surely, 2^100133233133 is an apocalyptic number.

It is an amenable number.

100133233133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133233133 is an equidigital number, since it uses as much as digits as its factorization.

100133233133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 100133233133 its reverse (331332331001), we get a palindrome (431465564134).

The spelling of 100133233133 in words is "one hundred billion, one hundred thirty-three million, two hundred thirty-three thousand, one hundred thirty-three".