13321221233304 has 384 divisors, whose sum is σ = 36322425216000. Its totient is φ = 4059136198656.

The previous prime is 13321221233279. The next prime is 13321221233347. The reversal of 13321221233304 is 40333212212331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35713729662 + ... + 35713730034.

It is an arithmetic number, because the mean of its divisors is an integer number (94589649000).

Almost surely, 2^{13321221233304} 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 13321221233304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18161212608000).

13321221233304 is an abundant number, since it is smaller than the sum of its proper divisors (23001203982696).

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

13321221233304 is a wasteful number, since it uses less digits than its factorization.

13321221233304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 13321221233304 its reverse (40333212212331), we get a palindrome (53654433445635).

The spelling of 13321221233304 in words is "thirteen trillion, three hundred twenty-one billion, two hundred twenty-one million, two hundred thirty-three thousand, three hundred four".