221312333441 has 16 divisors (see below), whose sum is σ = 235162552320. Its totient is φ = 207824034000.

The previous prime is 221312333381. The next prime is 221312333443. The reversal of 221312333441 is 144333213122.

221312333441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 221312333441 - 2²² = 221308139137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221312333443) 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 15 ways as a sum of consecutive naturals, for example, 910526 + ... + 1127688.

It is an arithmetic number, because the mean of its divisors is an integer number (14697659520).

Almost surely, 2^221312333441 is an apocalyptic number.

It is an amenable number.

221312333441 is a deficient number, since it is larger than the sum of its proper divisors (13850218879).

221312333441 is a wasteful number, since it uses less digits than its factorization.

221312333441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217996.

The product of its digits is 10368, while the sum is 29.

Adding to 221312333441 its reverse (144333213122), we get a palindrome (365645546563).

The spelling of 221312333441 in words is "two hundred twenty-one billion, three hundred twelve million, three hundred thirty-three thousand, four hundred forty-one".