33120000000001 has 8 divisors (see below), whose sum is σ = 33576291551880. Its totient is φ = 32663778527232.

The previous prime is 33119999999971. The next prime is 33120000000007. The reversal of 33120000000001 is 10000000002133.

It can be written as a sum of positive squares in 4 ways, for example, as 940077619776 + 32179922380225 = 969576^2 + 5672735^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33120000000001 - 2¹⁵ = 33119999967233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33120000000007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16567696 + ... + 18458833.

It is an arithmetic number, because the mean of its divisors is an integer number (4197036443985).

Almost surely, 2^{33120000000001} is an apocalyptic number.

It is an amenable number.

33120000000001 is a deficient number, since it is larger than the sum of its proper divisors (456291551879).

33120000000001 is a wasteful number, since it uses less digits than its factorization.

33120000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35039555.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 33120000000001 its reverse (10000000002133), we get a palindrome (43120000002134).

The spelling of 33120000000001 in words is "thirty-three trillion, one hundred twenty billion, one", and thus it is an aban number.