33120303021001 has 10 divisors (see below), whose sum is σ = 38638054464202. Its totient is φ = 28388831158800.

The previous prime is 33120303020989. The next prime is 33120303021191. The reversal of 33120303021001 is 10012030302133.

It can be written as a sum of positive squares in only one way, i.e., 19361760040000 + 13758542981001 = 4400200^2 + 3709251^2 .

It is not a de Polignac number, because 33120303021001 - 2¹⁵ = 33120302988233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33120303021001.

It is not an unprimeable number, because it can be changed into a prime (33120303025001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6897186900 + ... + 6897191701.

Almost surely, 2^{33120303021001} is an apocalyptic number.

It is an amenable number.

33120303021001 is a deficient number, since it is larger than the sum of its proper divisors (5517751443201).

33120303021001 is an frugal number, since it uses more digits than its factorization.

33120303021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13794378629 (or 13794378608 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 33120303021001 its reverse (10012030302133), we get a palindrome (43132333323134).

The spelling of 33120303021001 in words is "thirty-three trillion, one hundred twenty billion, three hundred three million, twenty-one thousand, one".