321133330010020 has 192 divisors, whose sum is σ = 775558205291520. Its totient is φ = 110650012070400.

The previous prime is 321133330009873. The next prime is 321133330010063. The reversal of 321133330010020 is 20010033331123.

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 = 321133330009973 and 321133330010000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48263215 + ... + 54512425.

It is an arithmetic number, because the mean of its divisors is an integer number (4039365652560).

Almost surely, 2^{321133330010020} 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 321133330010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387779102645760).

321133330010020 is an abundant number, since it is smaller than the sum of its proper divisors (454424875281500).

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

321133330010020 is a wasteful number, since it uses less digits than its factorization.

321133330010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6249434 (or 6249432 counting only the distinct ones).

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

Adding to 321133330010020 its reverse (20010033331123), we get a palindrome (341143363341143).

The spelling of 321133330010020 in words is "three hundred twenty-one trillion, one hundred thirty-three billion, three hundred thirty million, ten thousand, twenty".