221331312032 has 36 divisors (see below), whose sum is σ = 451289928726. Its totient is φ = 106849585920.

The previous prime is 221331312019. The next prime is 221331312047. The reversal of 221331312032 is 230213133122.

221331312032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 219657192976 + 1674119056 = 468676^2 + 40916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221331311989 and 221331312007.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4085219 + ... + 4139042.

Almost surely, 2^221331312032 is an apocalyptic number.

It is an amenable number.

221331312032 is an abundant number, since it is smaller than the sum of its proper divisors (229958616694).

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

221331312032 is an equidigital number, since it uses as much as digits as its factorization.

221331312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224329 (or 8224292 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 221331312032 its reverse (230213133122), we get a palindrome (451544445154).

The spelling of 221331312032 in words is "two hundred twenty-one billion, three hundred thirty-one million, three hundred twelve thousand, thirty-two".