221300312033 has 16 divisors (see below), whose sum is σ = 230572832256. Its totient is φ = 212163006720.

The previous prime is 221300312003. The next prime is 221300312041. The reversal of 221300312033 is 330213003122.

221300312033 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 221300312033 - 2¹⁸ = 221300049889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221300311996 and 221300312014.

It is not an unprimeable number, because it can be changed into a prime (221300312003) 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, 7737866 + ... + 7766412.

It is an arithmetic number, because the mean of its divisors is an integer number (14410802016).

Almost surely, 2^221300312033 is an apocalyptic number.

It is an amenable number.

221300312033 is a deficient number, since it is larger than the sum of its proper divisors (9272520223).

221300312033 is a wasteful number, since it uses less digits than its factorization.

221300312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30904.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 221300312033 its reverse (330213003122), we get a palindrome (551513315155).

The spelling of 221300312033 in words is "two hundred twenty-one billion, three hundred million, three hundred twelve thousand, thirty-three".