33122129993 has 2 divisors, whose sum is σ = 33122129994. Its totient is φ = 33122129992.

The previous prime is 33122129959. The next prime is 33122130029. The reversal of 33122129993 is 39992122133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17279628304 + 15842501689 = 131452^2 + 125867^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33122129993 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (33122129923) 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, 16561064996 + 16561064997.

It is an arithmetic number, because the mean of its divisors is an integer number (16561064997).

Almost surely, 2^33122129993 is an apocalyptic number.

It is an amenable number.

33122129993 is a deficient number, since it is larger than the sum of its proper divisors (1).

33122129993 is an equidigital number, since it uses as much as digits as its factorization.

33122129993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 157464, while the sum is 44.

The spelling of 33122129993 in words is "thirty-three billion, one hundred twenty-two million, one hundred twenty-nine thousand, nine hundred ninety-three".