33117872741321 has 2 divisors, whose sum is σ = 33117872741322. Its totient is φ = 33117872741320.

The previous prime is 33117872741287. The next prime is 33117872741323. The reversal of 33117872741321 is 12314727871133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30524520010000 + 2593352731321 = 5524900^2 + 1610389^2 .

It is a cyclic number.

It is not a de Polignac number, because 33117872741321 - 2¹⁰ = 33117872740297 is a prime.

Together with 33117872741323, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33117872741321.

It is not a weakly prime, because it can be changed into another prime (33117872741323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16558936370660 + 16558936370661.

It is an arithmetic number, because the mean of its divisors is an integer number (16558936370661).

Almost surely, 2^{33117872741321} is an apocalyptic number.

It is an amenable number.

33117872741321 is a deficient number, since it is larger than the sum of its proper divisors (1).

33117872741321 is an equidigital number, since it uses as much as digits as its factorization.

33117872741321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1185408, while the sum is 50.

The spelling of 33117872741321 in words is "thirty-three trillion, one hundred seventeen billion, eight hundred seventy-two million, seven hundred forty-one thousand, three hundred twenty-one".