34010013023033 has 2 divisors, whose sum is σ = 34010013023034. Its totient is φ = 34010013023032.

The previous prime is 34010013023003. The next prime is 34010013023059. The reversal of 34010013023033 is 33032031001043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33786876771904 + 223136251129 = 5812648^2 + 472373^2 .

It is a cyclic number.

It is not a de Polignac number, because 34010013023033 - 2²⁴ = 34009996245817 is a prime.

It is not a weakly prime, because it can be changed into another prime (34010013023003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17005006511516 + 17005006511517.

It is an arithmetic number, because the mean of its divisors is an integer number (17005006511517).

Almost surely, 2^{34010013023033} is an apocalyptic number.

It is an amenable number.

34010013023033 is a deficient number, since it is larger than the sum of its proper divisors (1).

34010013023033 is an equidigital number, since it uses as much as digits as its factorization.

34010013023033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 34010013023033 its reverse (33032031001043), we get a palindrome (67042044024076).

The spelling of 34010013023033 in words is "thirty-four trillion, ten billion, thirteen million, twenty-three thousand, thirty-three".