2122133112329 has 2 divisors, whose sum is σ = 2122133112330. Its totient is φ = 2122133112328.

The previous prime is 2122133112301. The next prime is 2122133112331. The reversal of 2122133112329 is 9232113312212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1238012275600 + 884120836729 = 1112660^2 + 940277^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122133112329 - 2¹² = 2122133108233 is a prime.

Together with 2122133112331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122133112295 and 2122133112304.

It is not a weakly prime, because it can be changed into another prime (2122133112349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061066556164 + 1061066556165.

It is an arithmetic number, because the mean of its divisors is an integer number (1061066556165).

Almost surely, 2^{2122133112329} is an apocalyptic number.

It is an amenable number.

2122133112329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122133112329 is an equidigital number, since it uses as much as digits as its factorization.

2122133112329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 32.

The spelling of 2122133112329 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-three million, one hundred twelve thousand, three hundred twenty-nine".