221333233313 has 2 divisors, whose sum is σ = 221333233314. Its totient is φ = 221333233312.

The previous prime is 221333233271. The next prime is 221333233327. The reversal of 221333233313 is 313332333122.

221333233313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115088527009 + 106244706304 = 339247^2 + 325952^2 .

It is a cyclic number.

It is not a de Polignac number, because 221333233313 - 2²⁸ = 221064797857 is a prime.

It is not a weakly prime, because it can be changed into another prime (221333233343) 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 as a sum of consecutive naturals, namely, 110666616656 + 110666616657.

It is an arithmetic number, because the mean of its divisors is an integer number (110666616657).

Almost surely, 2^221333233313 is an apocalyptic number.

It is an amenable number.

221333233313 is a deficient number, since it is larger than the sum of its proper divisors (1).

221333233313 is an equidigital number, since it uses as much as digits as its factorization.

221333233313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 29.

Adding to 221333233313 its reverse (313332333122), we get a palindrome (534665566435).

The spelling of 221333233313 in words is "two hundred twenty-one billion, three hundred thirty-three million, two hundred thirty-three thousand, three hundred thirteen".