33032121009973 has 2 divisors, whose sum is σ = 33032121009974. Its totient is φ = 33032121009972.

The previous prime is 33032121009949. The next prime is 33032121009977. The reversal of 33032121009973 is 37990012123033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31839183034884 + 1192937975089 = 5642622^2 + 1092217^2 .

It is an emirp because it is prime and its reverse (37990012123033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33032121009973 - 2³⁷ = 32894682056501 is a prime.

It is a super-2 number, since 2×33032121009973² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33032121009977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16516060504986 + 16516060504987.

It is an arithmetic number, because the mean of its divisors is an integer number (16516060504987).

Almost surely, 2^{33032121009973} is an apocalyptic number.

It is an amenable number.

33032121009973 is a deficient number, since it is larger than the sum of its proper divisors (1).

33032121009973 is an equidigital number, since it uses as much as digits as its factorization.

33032121009973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 183708, while the sum is 43.

The spelling of 33032121009973 in words is "thirty-three trillion, thirty-two billion, one hundred twenty-one million, nine thousand, nine hundred seventy-three".