20331332121321 has 24 divisors (see below), whose sum is σ = 31626937237896. Its totient is φ = 12511422604800.

The previous prime is 20331332121299. The next prime is 20331332121329. The reversal of 20331332121321 is 12312123313302.

20331332121321 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 1 + 332 + 1 + 2 + 1 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5461400737296 + 14869931384025 = 2336964^2 + 3856155^2 .

It is not a de Polignac number, because 20331332121321 - 2⁶ = 20331332121257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20331332121329) 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, 7987521 + ... + 10220721.

It is an arithmetic number, because the mean of its divisors is an integer number (1317789051579).

Almost surely, 2^{20331332121321} is an apocalyptic number.

It is an amenable number.

20331332121321 is a deficient number, since it is larger than the sum of its proper divisors (11295605116575).

20331332121321 is a wasteful number, since it uses less digits than its factorization.

20331332121321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311033 (or 2311030 counting only the distinct ones).

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

Adding to 20331332121321 its reverse (12312123313302), we get a palindrome (32643455434623).

The spelling of 20331332121321 in words is "twenty trillion, three hundred thirty-one billion, three hundred thirty-two million, one hundred twenty-one thousand, three hundred twenty-one".