34033133033 has 2 divisors, whose sum is σ = 34033133034. Its totient is φ = 34033133032.

The previous prime is 34033133027. The next prime is 34033133041. The reversal of 34033133033 is 33033133043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30090800089 + 3942332944 = 173467^2 + 62788^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34033133033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34033132993 and 34033133011.

It is not a weakly prime, because it can be changed into another prime (34033133633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17016566516 + 17016566517.

It is an arithmetic number, because the mean of its divisors is an integer number (17016566517).

Almost surely, 2^34033133033 is an apocalyptic number.

It is an amenable number.

34033133033 is a deficient number, since it is larger than the sum of its proper divisors (1).

34033133033 is an equidigital number, since it uses as much as digits as its factorization.

34033133033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 34033133033 its reverse (33033133043), we get a palindrome (67066266076).

The spelling of 34033133033 in words is "thirty-four billion, thirty-three million, one hundred thirty-three thousand, thirty-three".