330221242122033 has 64 divisors (see below), whose sum is σ = 452072957656320. Its totient is φ = 214363459584000.

The previous prime is 330221242121989. The next prime is 330221242122139.

330221242122033 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 330221242122033 - 2⁸ = 330221242121777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (330221242112033) 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 63 ways as a sum of consecutive naturals, for example, 3307818963 + ... + 3307918791.

It is an arithmetic number, because the mean of its divisors is an integer number (7063639963380).

Almost surely, 2^{330221242122033} is an apocalyptic number.

It is an amenable number.

330221242122033 is a deficient number, since it is larger than the sum of its proper divisors (121851715534287).

330221242122033 is a wasteful number, since it uses less digits than its factorization.

330221242122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100738.

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 330221242122033 in words is "three hundred thirty trillion, two hundred twenty-one billion, two hundred forty-two million, one hundred twenty-two thousand, thirty-three".