100033203213 has 12 divisors (see below), whose sum is σ = 149153450368. Its totient is φ = 64537550280.

The previous prime is 100033203199. The next prime is 100033203223. The reversal of 100033203213 is 312302330001.

100033203213 is a `hidden beast` number, since 10 + 0 + 0 + 332 + 0 + 321 + 3 = 666.

It is not a de Polignac number, because 100033203213 - 2¹⁰ = 100033202189 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100033203223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179270695 + ... + 179271252.

Almost surely, 2^100033203213 is an apocalyptic number.

It is an amenable number.

100033203213 is a deficient number, since it is larger than the sum of its proper divisors (49120247155).

100033203213 is a wasteful number, since it uses less digits than its factorization.

100033203213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358541984 (or 358541981 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100033203213 its reverse (312302330001), we get a palindrome (412335533214).

The spelling of 100033203213 in words is "one hundred billion, thirty-three million, two hundred three thousand, two hundred thirteen".