33132121323073 has 2 divisors, whose sum is σ = 33132121323074. Its totient is φ = 33132121323072.

The previous prime is 33132121323019. The next prime is 33132121323101. The reversal of 33132121323073 is 37032312123133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29635045540864 + 3497075782209 = 5443808^2 + 1870047^2 .

It is an emirp because it is prime and its reverse (37032312123133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33132121323073 - 2²⁵ = 33132087768641 is a prime.

It is not a weakly prime, because it can be changed into another prime (33132121323373) 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, 16566060661536 + 16566060661537.

It is an arithmetic number, because the mean of its divisors is an integer number (16566060661537).

Almost surely, 2^{33132121323073} is an apocalyptic number.

It is an amenable number.

33132121323073 is a deficient number, since it is larger than the sum of its proper divisors (1).

33132121323073 is an equidigital number, since it uses as much as digits as its factorization.

33132121323073 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 33132121323073 in words is "thirty-three trillion, one hundred thirty-two billion, one hundred twenty-one million, three hundred twenty-three thousand, seventy-three".