8100133 has 2 divisors, whose sum is σ = 8100134. Its totient is φ = 8100132.

The previous prime is 8100097. The next prime is 8100139. The reversal of 8100133 is 3310018.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6466849 + 1633284 = 2543^2 + 1278^2 .

It is a cyclic number.

It is not a de Polignac number, because 8100133 - 2⁹ = 8099621 is a prime.

It is a super-2 number, since 2×8100133² = 131224309235378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8100139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4050066 + 4050067.

It is an arithmetic number, because the mean of its divisors is an integer number (4050067).

Almost surely, 2^8100133 is an apocalyptic number.

It is an amenable number.

8100133 is a deficient number, since it is larger than the sum of its proper divisors (1).

8100133 is an equidigital number, since it uses as much as digits as its factorization.

8100133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 8100133 is about 2846.0732597739. The cubic root of 8100133 is about 200.8309842110.

The spelling of 8100133 in words is "eight million, one hundred thousand, one hundred thirty-three".