122311331202133 has 2 divisors, whose sum is σ = 122311331202134. Its totient is φ = 122311331202132.

The previous prime is 122311331202079. The next prime is 122311331202143. The reversal of 122311331202133 is 331202133113221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102693456553284 + 19617874648849 = 10133778^2 + 4429207^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122311331202133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122311331202143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61155665601066 + 61155665601067.

It is an arithmetic number, because the mean of its divisors is an integer number (61155665601067).

Almost surely, 2^{122311331202133} is an apocalyptic number.

It is an amenable number.

122311331202133 is a deficient number, since it is larger than the sum of its proper divisors (1).

122311331202133 is an equidigital number, since it uses as much as digits as its factorization.

122311331202133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 122311331202133 its reverse (331202133113221), we get a palindrome (453513464315354).

The spelling of 122311331202133 in words is "one hundred twenty-two trillion, three hundred eleven billion, three hundred thirty-one million, two hundred two thousand, one hundred thirty-three".