330123312013221 has 16 divisors (see below), whose sum is σ = 502289723985600. Its totient is φ = 214134040224144.

The previous prime is 330123312013219. The next prime is 330123312013301. The reversal of 330123312013221 is 122310213321033.

330123312013221 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 2 + 331 + 2 + 0 + 1 + 322 + 1 = 666.

It is not a de Polignac number, because 330123312013221 - 2¹ = 330123312013219 is a prime.

It is a super-2 number, since 2×330123312013221² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330123312013721) 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 15 ways as a sum of consecutive naturals, for example, 165226881891 + ... + 165226883888.

It is an arithmetic number, because the mean of its divisors is an integer number (31393107749100).

Almost surely, 2^{330123312013221} is an apocalyptic number.

It is an amenable number.

330123312013221 is a deficient number, since it is larger than the sum of its proper divisors (172166411972379).

330123312013221 is a wasteful number, since it uses less digits than its factorization.

330123312013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330453765825 (or 330453765819 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 330123312013221 its reverse (122310213321033), we get a palindrome (452433525334254).

The spelling of 330123312013221 in words is "three hundred thirty trillion, one hundred twenty-three billion, three hundred twelve million, thirteen thousand, two hundred twenty-one".