100133010333 has 12 divisors (see below), whose sum is σ = 144640227420. Its totient is φ = 66753652416.

The previous prime is 100133010301. The next prime is 100133010359. The reversal of 100133010333 is 333010331001.

100133010333 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 330 + 1 + 0 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81030176964 + 19102833369 = 284658^2 + 138213^2 .

It is not a de Polignac number, because 100133010333 - 2⁵ = 100133010301 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133010533) 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, 311635 + ... + 545327.

It is an arithmetic number, because the mean of its divisors is an integer number (12053352285).

Almost surely, 2^100133010333 is an apocalyptic number.

It is an amenable number.

100133010333 is a deficient number, since it is larger than the sum of its proper divisors (44507217087).

100133010333 is a wasteful number, since it uses less digits than its factorization.

100133010333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281308 (or 281305 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 100133010333 its reverse (333010331001), we get a palindrome (433143341334).

The spelling of 100133010333 in words is "one hundred billion, one hundred thirty-three million, ten thousand, three hundred thirty-three".