100033133 has 2 divisors, whose sum is σ = 100033134. Its totient is φ = 100033132.

The previous prime is 100033111. The next prime is 100033147. The reversal of 100033133 is 331330001.

It is an a-pointer prime, because the next prime (100033147) can be obtained adding 100033133 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97081609 + 2951524 = 9853^2 + 1718^2 .

It is a cyclic number.

It is not a de Polignac number, because 100033133 - 2⁶ = 100033069 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100036133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016566 + 50016567.

It is an arithmetic number, because the mean of its divisors is an integer number (50016567).

Almost surely, 2^100033133 is an apocalyptic number.

It is an amenable number.

100033133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100033133 is an equidigital number, since it uses as much as digits as its factorization.

100033133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 100033133 is about 10001.6565127983. The cubic root of 100033133 is about 464.2101409549.

Adding to 100033133 its reverse (331330001), we get a palindrome (431363134).

The spelling of 100033133 in words is "one hundred million, thirty-three thousand, one hundred thirty-three".