321113320000 has 280 divisors, whose sum is σ = 872172715392. Its totient is φ = 116294400000.

The previous prime is 321113319977. The next prime is 321113320001. The reversal of 321113320000 is 23311123.

It is a super-3 number, since 3×321113320000³ (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 (16).

It is not an unprimeable number, because it can be changed into a prime (321113320001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119238654 + ... + 119241346.

Almost surely, 2^321113320000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321113320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436086357696).

321113320000 is an abundant number, since it is smaller than the sum of its proper divisors (551059395392).

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

321113320000 is a wasteful number, since it uses less digits than its factorization.

321113320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 321113320000 its reverse (23311123), we get a palindrome (321136631123).

The spelling of 321113320000 in words is "three hundred twenty-one billion, one hundred thirteen million, three hundred twenty thousand".