321421103130320 has 160 divisors (see below), whose sum is σ = 776368091360160. Its totient is φ = 123649345290240.

The previous prime is 321421103130293. The next prime is 321421103130359. The reversal of 321421103130320 is 23031301124123.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 21425678348944 + 299995424781376 = 4628788^2 + 17320376^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 321421103130320.

It is a congruent number.

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, 848350844 + ... + 848729636.

It is an arithmetic number, because the mean of its divisors is an integer number (4852300571001).

Almost surely, 2^{321421103130320} 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 321421103130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388184045680080).

321421103130320 is an abundant number, since it is smaller than the sum of its proper divisors (454946988229840).

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

321421103130320 is a wasteful number, since it uses less digits than its factorization.

321421103130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382153 (or 382147 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 321421103130320 its reverse (23031301124123), we get a palindrome (344452404254443).

The spelling of 321421103130320 in words is "three hundred twenty-one trillion, four hundred twenty-one billion, one hundred three million, one hundred thirty thousand, three hundred twenty".