223222113104113 has 2 divisors, whose sum is σ = 223222113104114. Its totient is φ = 223222113104112.

The previous prime is 223222113104099. The next prime is 223222113104161. The reversal of 223222113104113 is 311401311222322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176184023605489 + 47038089498624 = 13273433^2 + 6858432^2 .

It is a cyclic number.

It is not a de Polignac number, because 223222113104113 - 2⁹ = 223222113103601 is a prime.

It is a super-3 number, since 3×223222113104113³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223222113104713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111611056552056 + 111611056552057.

It is an arithmetic number, because the mean of its divisors is an integer number (111611056552057).

Almost surely, 2^{223222113104113} is an apocalyptic number.

It is an amenable number.

223222113104113 is a deficient number, since it is larger than the sum of its proper divisors (1).

223222113104113 is an equidigital number, since it uses as much as digits as its factorization.

223222113104113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 223222113104113 its reverse (311401311222322), we get a palindrome (534623424326435).

The spelling of 223222113104113 in words is "two hundred twenty-three trillion, two hundred twenty-two billion, one hundred thirteen million, one hundred four thousand, one hundred thirteen".