221331221329 has 8 divisors (see below), whose sum is σ = 221672602368. Its totient is φ = 220990096800.

The previous prime is 221331221323. The next prime is 221331221341. The reversal of 221331221329 is 923122133122.

221331221329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221331221329 - 2¹³ = 221331213137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221331221329.

It is not an unprimeable number, because it can be changed into a prime (221331221323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1700104 + ... + 1825654.

It is an arithmetic number, because the mean of its divisors is an integer number (27709075296).

Almost surely, 2^221331221329 is an apocalyptic number.

It is an amenable number.

221331221329 is a deficient number, since it is larger than the sum of its proper divisors (341381039).

221331221329 is a wasteful number, since it uses less digits than its factorization.

221331221329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128255.

The product of its digits is 7776, while the sum is 31.

The spelling of 221331221329 in words is "two hundred twenty-one billion, three hundred thirty-one million, two hundred twenty-one thousand, three hundred twenty-nine".