100133221311 has 6 divisors (see below), whose sum is σ = 144636875240. Its totient is φ = 66755480868.

The previous prime is 100133221261. The next prime is 100133221319. The reversal of 100133221311 is 113122331001.

100133221311 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 332 + 21 + 311 = 666.

It is not a de Polignac number, because 100133221311 - 2¹⁵ = 100133188543 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 (100133221319) 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 in 5 ways as a sum of consecutive naturals, for example, 5562956731 + ... + 5562956748.

Almost surely, 2^100133221311 is an apocalyptic number.

100133221311 is a deficient number, since it is larger than the sum of its proper divisors (44503653929).

100133221311 is a wasteful number, since it uses less digits than its factorization.

100133221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125913485 (or 11125913482 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100133221311 its reverse (113122331001), we get a palindrome (213255552312).

The spelling of 100133221311 in words is "one hundred billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred eleven".