13113312113233 has 2 divisors, whose sum is σ = 13113312113234. Its totient is φ = 13113312113232.

The previous prime is 13113312113203. The next prime is 13113312113249. The reversal of 13113312113233 is 33231121331131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12764842675264 + 348469437969 = 3572792^2 + 590313^2 .

It is a cyclic number.

It is not a de Polignac number, because 13113312113233 - 2⁵ = 13113312113201 is a prime.

It is not a weakly prime, because it can be changed into another prime (13113312113203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556656056616 + 6556656056617.

It is an arithmetic number, because the mean of its divisors is an integer number (6556656056617).

Almost surely, 2^{13113312113233} is an apocalyptic number.

It is an amenable number.

13113312113233 is a deficient number, since it is larger than the sum of its proper divisors (1).

13113312113233 is an equidigital number, since it uses as much as digits as its factorization.

13113312113233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 28.

Adding to 13113312113233 its reverse (33231121331131), we get a palindrome (46344433444364).

The spelling of 13113312113233 in words is "thirteen trillion, one hundred thirteen billion, three hundred twelve million, one hundred thirteen thousand, two hundred thirty-three".