330320011000221 has 24 divisors (see below), whose sum is σ = 520536670224480. Its totient is φ = 200181480496800.

The previous prime is 330320011000193. The next prime is 330320011000223. The reversal of 330320011000221 is 122000110023033.

330320011000221 is a `hidden beast` number, since 330 + 3 + 2 + 0 + 0 + 110 + 0 + 0 + 221 = 666.

It is not a de Polignac number, because 330320011000221 - 2³⁰ = 330318937258397 is a prime.

It is a super-2 number, since 2×330320011000221² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 330320011000194 and 330320011000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330320011000223) 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 23 ways as a sum of consecutive naturals, for example, 102281631 + ... + 105461708.

It is an arithmetic number, because the mean of its divisors is an integer number (21689027926020).

Almost surely, 2^{330320011000221} is an apocalyptic number.

It is an amenable number.

330320011000221 is a deficient number, since it is larger than the sum of its proper divisors (190216659224259).

330320011000221 is a wasteful number, since it uses less digits than its factorization.

330320011000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207759417 (or 207759414 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330320011000221 its reverse (122000110023033), we get a palindrome (452320121023254).

The spelling of 330320011000221 in words is "three hundred thirty trillion, three hundred twenty billion, eleven million, two hundred twenty-one", and thus it is an aban number.