223331003113 has 2 divisors, whose sum is σ = 223331003114. Its totient is φ = 223331003112.

The previous prime is 223331003111. The next prime is 223331003123. The reversal of 223331003113 is 311300133322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222516928089 + 814075024 = 471717^2 + 28532^2 .

It is a cyclic number.

It is not a de Polignac number, because 223331003113 - 2¹ = 223331003111 is a prime.

Together with 223331003111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (223331003111) 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, 111665501556 + 111665501557.

It is an arithmetic number, because the mean of its divisors is an integer number (111665501557).

Almost surely, 2^223331003113 is an apocalyptic number.

It is an amenable number.

223331003113 is a deficient number, since it is larger than the sum of its proper divisors (1).

223331003113 is an equidigital number, since it uses as much as digits as its factorization.

223331003113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 223331003113 its reverse (311300133322), we get a palindrome (534631136435).

The spelling of 223331003113 in words is "two hundred twenty-three billion, three hundred thirty-one million, three thousand, one hundred thirteen".