221313331533233 has 2 divisors, whose sum is σ = 221313331533234. Its totient is φ = 221313331533232.

The previous prime is 221313331533223. The next prime is 221313331533253. The reversal of 221313331533233 is 332335133313122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211667785123249 + 9645546409984 = 14548807^2 + 3105728^2 .

It is a cyclic number.

It is not a de Polignac number, because 221313331533233 - 2³⁶ = 221244612056497 is a prime.

It is not a weakly prime, because it can be changed into another prime (221313331533223) 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, 110656665766616 + 110656665766617.

It is an arithmetic number, because the mean of its divisors is an integer number (110656665766617).

Almost surely, 2^{221313331533233} is an apocalyptic number.

It is an amenable number.

221313331533233 is a deficient number, since it is larger than the sum of its proper divisors (1).

221313331533233 is an equidigital number, since it uses as much as digits as its factorization.

221313331533233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 262440, while the sum is 38.

Adding to 221313331533233 its reverse (332335133313122), we get a palindrome (553648464846355).

The spelling of 221313331533233 in words is "two hundred twenty-one trillion, three hundred thirteen billion, three hundred thirty-one million, five hundred thirty-three thousand, two hundred thirty-three".