321113330032 has 80 divisors (see below), whose sum is σ = 680417236224. Its totient is φ = 145595520000.

The previous prime is 321113330009. The next prime is 321113330047. The reversal of 321113330032 is 230033311123.

It is a super-3 number, since 3×321113330032³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 321113329985 and 321113330012.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 204399807 + ... + 204401377.

Almost surely, 2^321113330032 is an apocalyptic number.

It is an amenable number.

321113330032 is an abundant number, since it is smaller than the sum of its proper divisors (359303906192).

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

321113330032 is a wasteful number, since it uses less digits than its factorization.

321113330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 321113330032 its reverse (230033311123), we get a palindrome (551146641155).

The spelling of 321113330032 in words is "three hundred twenty-one billion, one hundred thirteen million, three hundred thirty thousand, thirty-two".