33120028018009 has 2 divisors, whose sum is σ = 33120028018010. Its totient is φ = 33120028018008.

The previous prime is 33120028017959. The next prime is 33120028018013. The reversal of 33120028018009 is 90081082002133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26038282083984 + 7081745934025 = 5102772^2 + 2661155^2 .

It is a cyclic number.

It is not a de Polignac number, because 33120028018009 - 2²³ = 33120019629401 is a prime.

It is not a weakly prime, because it can be changed into another prime (33120028018069) 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, 16560014009004 + 16560014009005.

It is an arithmetic number, because the mean of its divisors is an integer number (16560014009005).

Almost surely, 2^{33120028018009} is an apocalyptic number.

It is an amenable number.

33120028018009 is a deficient number, since it is larger than the sum of its proper divisors (1).

33120028018009 is an equidigital number, since it uses as much as digits as its factorization.

33120028018009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 33120028018009 in words is "thirty-three trillion, one hundred twenty billion, twenty-eight million, eighteen thousand, nine".