33123112073 has 2 divisors, whose sum is σ = 33123112074. Its totient is φ = 33123112072.

The previous prime is 33123112019. The next prime is 33123112081. The reversal of 33123112073 is 37021132133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24349417849 + 8773694224 = 156043^2 + 93668^2 .

It is a cyclic number.

It is not a de Polignac number, because 33123112073 - 2²⁰ = 33122063497 is a prime.

It is not a weakly prime, because it can be changed into another prime (33123112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16561556036 + 16561556037.

It is an arithmetic number, because the mean of its divisors is an integer number (16561556037).

Almost surely, 2^33123112073 is an apocalyptic number.

It is an amenable number.

33123112073 is a deficient number, since it is larger than the sum of its proper divisors (1).

33123112073 is an equidigital number, since it uses as much as digits as its factorization.

33123112073 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 33123112073 in words is "thirty-three billion, one hundred twenty-three million, one hundred twelve thousand, seventy-three".