13331311322233 has 2 divisors, whose sum is σ = 13331311322234. Its totient is φ = 13331311322232.

The previous prime is 13331311322191. The next prime is 13331311322261. The reversal of 13331311322233 is 33222311313331.

It is a happy number.

13331311322233 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., 13330655347689 + 655974544 = 3651117^2 + 25612^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13331311322233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13331311322195 and 13331311322204.

It is not a weakly prime, because it can be changed into another prime (13331311322333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665655661116 + 6665655661117.

It is an arithmetic number, because the mean of its divisors is an integer number (6665655661117).

Almost surely, 2^{13331311322233} is an apocalyptic number.

It is an amenable number.

13331311322233 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331311322233 is an equidigital number, since it uses as much as digits as its factorization.

13331311322233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17496, while the sum is 31.

Adding to 13331311322233 its reverse (33222311313331), we get a palindrome (46553622635564).

The spelling of 13331311322233 in words is "thirteen trillion, three hundred thirty-one billion, three hundred eleven million, three hundred twenty-two thousand, two hundred thirty-three".