33002020313117 has 2 divisors, whose sum is σ = 33002020313118. Its totient is φ = 33002020313116.

The previous prime is 33002020313063. The next prime is 33002020313147. The reversal of 33002020313117 is 71131302020033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19998971824441 + 13003048488676 = 4472021^2 + 3605974^2 .

It is a cyclic number.

It is not a de Polignac number, because 33002020313117 - 2²⁰ = 33002019264541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33002020313147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16501010156558 + 16501010156559.

It is an arithmetic number, because the mean of its divisors is an integer number (16501010156559).

Almost surely, 2^{33002020313117} is an apocalyptic number.

It is an amenable number.

33002020313117 is a deficient number, since it is larger than the sum of its proper divisors (1).

33002020313117 is an equidigital number, since it uses as much as digits as its factorization.

33002020313117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

The spelling of 33002020313117 in words is "thirty-three trillion, two billion, twenty million, three hundred thirteen thousand, one hundred seventeen".