13233113043113 has 2 divisors, whose sum is σ = 13233113043114. Its totient is φ = 13233113043112.

The previous prime is 13233113043041. The next prime is 13233113043133. The reversal of 13233113043113 is 31134031133231.

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., 8473437780889 + 4759675262224 = 2910917^2 + 2181668^2 .

It is a cyclic number.

It is not a de Polignac number, because 13233113043113 - 2²⁶ = 13233045934249 is a prime.

It is not a weakly prime, because it can be changed into another prime (13233113043133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6616556521556 + 6616556521557.

It is an arithmetic number, because the mean of its divisors is an integer number (6616556521557).

Almost surely, 2^{13233113043113} is an apocalyptic number.

It is an amenable number.

13233113043113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13233113043113 is an equidigital number, since it uses as much as digits as its factorization.

13233113043113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 13233113043113 its reverse (31134031133231), we get a palindrome (44367144176344).

The spelling of 13233113043113 in words is "thirteen trillion, two hundred thirty-three billion, one hundred thirteen million, forty-three thousand, one hundred thirteen".