330310221132020 has 24 divisors (see below), whose sum is σ = 693653353561224. Its totient is φ = 132123728608256.

The previous prime is 330310221131993. The next prime is 330310221132079. The reversal of 330310221132020 is 20231122013033.

It can be written as a sum of positive squares in 4 ways, for example, as 3911582083984 + 326398639048036 = 1977772^2 + 18066506^2 .

It is a super-3 number, since 3×330310221132020³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14900837 + ... + 29709516.

It is an arithmetic number, because the mean of its divisors is an integer number (28902223065051).

Almost surely, 2^{330310221132020} is an apocalyptic number.

It is an amenable number.

330310221132020 is an abundant number, since it is smaller than the sum of its proper divisors (363343132429204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330310221132020 is a wasteful number, since it uses less digits than its factorization.

330310221132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44980579 (or 44980577 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 330310221132020 its reverse (20231122013033), we get a palindrome (350541343145053).

The spelling of 330310221132020 in words is "three hundred thirty trillion, three hundred ten billion, two hundred twenty-one million, one hundred thirty-two thousand, twenty".