321020102013320 has 128 divisors (see below), whose sum is σ = 750747742617600. Its totient is φ = 123408433401600.

The previous prime is 321020102013313. The next prime is 321020102013343. The reversal of 321020102013320 is 23310201020123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 321020102013292 and 321020102013301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225213821 + ... + 226634739.

It is an arithmetic number, because the mean of its divisors is an integer number (5865216739200).

Almost surely, 2^{321020102013320} 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 321020102013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375373871308800).

321020102013320 is an abundant number, since it is smaller than the sum of its proper divisors (429727640604280).

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

321020102013320 is a wasteful number, since it uses less digits than its factorization.

321020102013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422219 (or 1422215 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 321020102013320 its reverse (23310201020123), we get a palindrome (344330303033443).

The spelling of 321020102013320 in words is "three hundred twenty-one trillion, twenty billion, one hundred two million, thirteen thousand, three hundred twenty".