100133443233 has 12 divisors (see below), whose sum is σ = 144644011668. Its totient is φ = 66752483040.

The previous prime is 100133443217. The next prime is 100133443247. The reversal of 100133443233 is 332344331001.

100133443233 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 334 + 4 + 323 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45383059089 + 54750384144 = 213033^2 + 233988^2 .

It is not a de Polignac number, because 100133443233 - 2⁴ = 100133443217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100133443197 and 100133443206.

It is not an unprimeable number, because it can be changed into a prime (100133443253) 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, 51658 + ... + 450483.

It is an arithmetic number, because the mean of its divisors is an integer number (12053667639).

Almost surely, 2^100133443233 is an apocalyptic number.

It is an amenable number.

100133443233 is a deficient number, since it is larger than the sum of its proper divisors (44510568435).

100133443233 is a wasteful number, since it uses less digits than its factorization.

100133443233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524304 (or 524301 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 100133443233 its reverse (332344331001), we get a palindrome (432477774234).

The spelling of 100133443233 in words is "one hundred billion, one hundred thirty-three million, four hundred forty-three thousand, two hundred thirty-three".