2133322011113 has 2 divisors, whose sum is σ = 2133322011114. Its totient is φ = 2133322011112.

The previous prime is 2133322011061. The next prime is 2133322011133. The reversal of 2133322011113 is 3111102233312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1469157319744 + 664164691369 = 1212088^2 + 814963^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133322011113 - 2²⁰ = 2133320962537 is a prime.

It is not a weakly prime, because it can be changed into another prime (2133322011133) 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, 1066661005556 + 1066661005557.

It is an arithmetic number, because the mean of its divisors is an integer number (1066661005557).

Almost surely, 2^{2133322011113} is an apocalyptic number.

It is an amenable number.

2133322011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133322011113 is an equidigital number, since it uses as much as digits as its factorization.

2133322011113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 2133322011113 its reverse (3111102233312), we get a palindrome (5244424244425).

The spelling of 2133322011113 in words is "two trillion, one hundred thirty-three billion, three hundred twenty-two million, eleven thousand, one hundred thirteen".