1323320313321 has 6 divisors (see below), whose sum is σ = 1911462674810. Its totient is φ = 882213542208.

The previous prime is 1323320313299. The next prime is 1323320313353. The reversal of 1323320313321 is 1233130233231.

1323320313321 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 20 + 313 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1292850865296 + 30469448025 = 1137036^2 + 174555^2 .

It is not a de Polignac number, because 1323320313321 - 2¹⁵ = 1323320280553 is a prime.

It is a super-2 number, since 2×1323320313321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1323320314321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73517795176 + ... + 73517795193.

Almost surely, 2^{1323320313321} is an apocalyptic number.

It is an amenable number.

1323320313321 is a deficient number, since it is larger than the sum of its proper divisors (588142361489).

1323320313321 is a wasteful number, since it uses less digits than its factorization.

1323320313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147035590375 (or 147035590372 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1323320313321 its reverse (1233130233231), we get a palindrome (2556450546552).

The spelling of 1323320313321 in words is "one trillion, three hundred twenty-three billion, three hundred twenty million, three hundred thirteen thousand, three hundred twenty-one".