321113323020 has 192 divisors, whose sum is σ = 1055964672000. Its totient is φ = 71370989568.

The previous prime is 321113322997. The next prime is 321113323033. The reversal of 321113323020 is 20323311123.

It is a super-3 number, since 3×321113323020³ (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 (21).

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, 31059292 + ... + 31069628.

It is an arithmetic number, because the mean of its divisors is an integer number (5499816000).

Almost surely, 2^321113323020 is an apocalyptic number.

321113323020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321113323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527982336000).

321113323020 is an abundant number, since it is smaller than the sum of its proper divisors (734851348980).

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

321113323020 is a wasteful number, since it uses less digits than its factorization.

321113323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12392 (or 12390 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 321113323020 its reverse (20323311123), we get a palindrome (341436634143).

The spelling of 321113323020 in words is "three hundred twenty-one billion, one hundred thirteen million, three hundred twenty-three thousand, twenty".