13000133 has 2 divisors, whose sum is σ = 13000134. Its totient is φ = 13000132.

The previous prime is 13000081. The next prime is 13000139. The reversal of 13000133 is 33100031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11276164 + 1723969 = 3358^2 + 1313^2 .

It is an emirp because it is prime and its reverse (33100031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13000133 - 2⁶ = 13000069 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 (13000139) 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, 6500066 + 6500067.

It is an arithmetic number, because the mean of its divisors is an integer number (6500067).

Almost surely, 2^13000133 is an apocalyptic number.

It is an amenable number.

13000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000133 is an equidigital number, since it uses as much as digits as its factorization.

13000133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 13000133 is about 3605.5697191983. The cubic root of 13000133 is about 235.1342706348.

Adding to 13000133 its reverse (33100031), we get a palindrome (46100164).

The spelling of 13000133 in words is "thirteen million, one hundred thirty-three", and thus it is an aban number.