321113322133 has 12 divisors (see below), whose sum is σ = 352130858820. Its totient is φ = 291802762496.

The previous prime is 321113322109. The next prime is 321113322139. The reversal of 321113322133 is 331223311123.

It can be written as a sum of positive squares in 6 ways, for example, as 40253600689 + 280859721444 = 200633^2 + 529962^2 .

It is not a de Polignac number, because 321113322133 - 2³³ = 312523387541 is a prime.

It is a super-3 number, since 3×321113322133³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321113322098 and 321113322107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321113322139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11215798 + ... + 11244391.

It is an arithmetic number, because the mean of its divisors is an integer number (29344238235).

Almost surely, 2^321113322133 is an apocalyptic number.

It is an amenable number.

321113322133 is a deficient number, since it is larger than the sum of its proper divisors (31017536687).

321113322133 is a wasteful number, since it uses less digits than its factorization.

321113322133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22460264 (or 22460235 counting only the distinct ones).

The product of its digits is 1944, while the sum is 25.

Adding to 321113322133 its reverse (331223311123), we get a palindrome (652336633256).

The spelling of 321113322133 in words is "three hundred twenty-one billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred thirty-three".