12233133132113 has 2 divisors, whose sum is σ = 12233133132114. Its totient is φ = 12233133132112.

The previous prime is 12233133132061. The next prime is 12233133132137. The reversal of 12233133132113 is 31123133133221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10113875573824 + 2119257558289 = 3180232^2 + 1455767^2 .

It is an emirp because it is prime and its reverse (31123133133221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12233133132113 - 2³² = 12228838164817 is a prime.

It is not a weakly prime, because it can be changed into another prime (12233133132163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6116566566056 + 6116566566057.

It is an arithmetic number, because the mean of its divisors is an integer number (6116566566057).

Almost surely, 2^{12233133132113} is an apocalyptic number.

It is an amenable number.

12233133132113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12233133132113 is an equidigital number, since it uses as much as digits as its factorization.

12233133132113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12233133132113 its reverse (31123133133221), we get a palindrome (43356266265334).

The spelling of 12233133132113 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred thirteen".