321321320401000 has 128 divisors (see below), whose sum is σ = 763153999920000. Its totient is φ = 126603581491200.

The previous prime is 321321320400959. The next prime is 321321320401099. The reversal of 321321320401000 is 104023123123.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399984251 + ... + 1400213749.

It is an arithmetic number, because the mean of its divisors is an integer number (5962140624375).

Almost surely, 2^{321321320401000} 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 321321320401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381576999960000).

321321320401000 is an abundant number, since it is smaller than the sum of its proper divisors (441832679519000).

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

321321320401000 is a wasteful number, since it uses less digits than its factorization.

321321320401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250484 (or 250470 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 321321320401000 its reverse (104023123123), we get a palindrome (321425343524123).

The spelling of 321321320401000 in words is "three hundred twenty-one trillion, three hundred twenty-one billion, three hundred twenty million, four hundred one thousand".