330220121022033 has 24 divisors (see below), whose sum is σ = 488750638221888. Its totient is φ = 198151887780000.

The previous prime is 330220121022023. The next prime is 330220121022079.

330220121022033 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 330220121022033 - 2²⁸ = 330219852586577 is a prime.

It is a super-2 number, since 2×330220121022033² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330220121021994 and 330220121022012.

It is not an unprimeable number, because it can be changed into a prime (330220121022023) 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 in 23 ways as a sum of consecutive naturals, for example, 4503415333 + ... + 4503488658.

It is an arithmetic number, because the mean of its divisors is an integer number (20364609925912).

Almost surely, 2^{330220121022033} is an apocalyptic number.

330220121022033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

330220121022033 is a deficient number, since it is larger than the sum of its proper divisors (158530517199855).

330220121022033 is a wasteful number, since it uses less digits than its factorization.

330220121022033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006904117 (or 9006904106 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 330220121022033 in words is "three hundred thirty trillion, two hundred twenty billion, one hundred twenty-one million, twenty-two thousand, thirty-three".