2123033302133 has 2 divisors, whose sum is σ = 2123033302134. Its totient is φ = 2123033302132.

The previous prime is 2123033302109. The next prime is 2123033302141. The reversal of 2123033302133 is 3312033303212.

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., 1974648869284 + 148384432849 = 1405222^2 + 385207^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123033302133 - 2⁸ = 2123033301877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2123033302153) 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, 1061516651066 + 1061516651067.

It is an arithmetic number, because the mean of its divisors is an integer number (1061516651067).

Almost surely, 2^{2123033302133} is an apocalyptic number.

It is an amenable number.

2123033302133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123033302133 is an equidigital number, since it uses as much as digits as its factorization.

2123033302133 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 26.

Adding to 2123033302133 its reverse (3312033303212), we get a palindrome (5435066605345).

The spelling of 2123033302133 in words is "two trillion, one hundred twenty-three billion, thirty-three million, three hundred two thousand, one hundred thirty-three".