2033123002213 has 2 divisors, whose sum is σ = 2033123002214. Its totient is φ = 2033123002212.

The previous prime is 2033123002201. The next prime is 2033123002231. The reversal of 2033123002213 is 3122003213302.

Together with next prime (2033123002231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2030904309604 + 2218692609 = 1425098^2 + 47103^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2033123002213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2033123002613) 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, 1016561501106 + 1016561501107.

It is an arithmetic number, because the mean of its divisors is an integer number (1016561501107).

Almost surely, 2^{2033123002213} is an apocalyptic number.

It is an amenable number.

2033123002213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033123002213 is an equidigital number, since it uses as much as digits as its factorization.

2033123002213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2033123002213 its reverse (3122003213302), we get a palindrome (5155126215515).

The spelling of 2033123002213 in words is "two trillion, thirty-three billion, one hundred twenty-three million, two thousand, two hundred thirteen".