13833133 has 2 divisors, whose sum is σ = 13833134. Its totient is φ = 13833132.

The previous prime is 13833119. The next prime is 13833139. The reversal of 13833133 is 33133831.

13833133 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11923209 + 1909924 = 3453^2 + 1382^2 .

It is an emirp because it is prime and its reverse (33133831) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13833133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13833098 and 13833107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13833139) 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, 6916566 + 6916567.

It is an arithmetic number, because the mean of its divisors is an integer number (6916567).

Almost surely, 2^13833133 is an apocalyptic number.

It is an amenable number.

13833133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13833133 is an equidigital number, since it uses as much as digits as its factorization.

13833133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 25.

The square root of 13833133 is about 3719.2920025188. The cubic root of 13833133 is about 240.0528413742.

Adding to 13833133 its reverse (33133831), we get a palindrome (46966964).

The spelling of 13833133 in words is "thirteen million, eight hundred thirty-three thousand, one hundred thirty-three".