100133333213 has 16 divisors (see below), whose sum is σ = 104988917760. Its totient is φ = 95386777200.

The previous prime is 100133333191. The next prime is 100133333239. The reversal of 100133333213 is 312333331001.

It is a cyclic number.

It is not a de Polignac number, because 100133333213 - 2¹² = 100133329117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133333243) 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 in 15 ways as a sum of consecutive naturals, for example, 748856 + ... + 872382.

It is an arithmetic number, because the mean of its divisors is an integer number (6561807360).

Almost surely, 2^100133333213 is an apocalyptic number.

It is an amenable number.

100133333213 is a deficient number, since it is larger than the sum of its proper divisors (4855584547).

100133333213 is a wasteful number, since it uses less digits than its factorization.

100133333213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123968.

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

Adding to 100133333213 its reverse (312333331001), we get a palindrome (412466664214).

The spelling of 100133333213 in words is "one hundred billion, one hundred thirty-three million, three hundred thirty-three thousand, two hundred thirteen".