33331123212073 has 2 divisors, whose sum is σ = 33331123212074. Its totient is φ = 33331123212072.

The previous prime is 33331123212031. The next prime is 33331123212151. The reversal of 33331123212073 is 37021232113333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23015123518464 + 10315999693609 = 4797408^2 + 3211853^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33331123212073 is a prime.

It is a super-2 number, since 2×33331123212073² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33331123212173) 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, 16665561606036 + 16665561606037.

It is an arithmetic number, because the mean of its divisors is an integer number (16665561606037).

Almost surely, 2^{33331123212073} is an apocalyptic number.

It is an amenable number.

33331123212073 is a deficient number, since it is larger than the sum of its proper divisors (1).

33331123212073 is an equidigital number, since it uses as much as digits as its factorization.

33331123212073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 34.

The spelling of 33331123212073 in words is "thirty-three trillion, three hundred thirty-one billion, one hundred twenty-three million, two hundred twelve thousand, seventy-three".