9033321311321 has 2 divisors, whose sum is σ = 9033321311322. Its totient is φ = 9033321311320.

The previous prime is 9033321311249. The next prime is 9033321311351. The reversal of 9033321311321 is 1231131233309.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9013655175625 + 19666135696 = 3002275^2 + 140236^2 .

It is an emirp because it is prime and its reverse (1231131233309) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9033321311321 - 2³⁸ = 8758443404377 is a prime.

It is not a weakly prime, because it can be changed into another prime (9033321311351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4516660655660 + 4516660655661.

It is an arithmetic number, because the mean of its divisors is an integer number (4516660655661).

Almost surely, 2^{9033321311321} is an apocalyptic number.

It is an amenable number.

9033321311321 is a deficient number, since it is larger than the sum of its proper divisors (1).

9033321311321 is an equidigital number, since it uses as much as digits as its factorization.

9033321311321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 9033321311321 in words is "nine trillion, thirty-three billion, three hundred twenty-one million, three hundred eleven thousand, three hundred twenty-one".