2133312121 has 2 divisors, whose sum is σ = 2133312122. Its totient is φ = 2133312120.

The previous prime is 2133312113. The next prime is 2133312127. The reversal of 2133312121 is 1212133312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2121615721 + 11696400 = 46061^2 + 3420^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133312121 - 2³ = 2133312113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2133312127) 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, 1066656060 + 1066656061.

It is an arithmetic number, because the mean of its divisors is an integer number (1066656061).

Almost surely, 2^2133312121 is an apocalyptic number.

It is an amenable number.

2133312121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133312121 is an equidigital number, since it uses as much as digits as its factorization.

2133312121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 2133312121 is about 46187.7919043550. The cubic root of 2133312121 is about 1287.3149127345.

Adding to 2133312121 its reverse (1212133312), we get a palindrome (3345445433).

The spelling of 2133312121 in words is "two billion, one hundred thirty-three million, three hundred twelve thousand, one hundred twenty-one".