122133122330113 has 2 divisors, whose sum is σ = 122133122330114. Its totient is φ = 122133122330112.

The previous prime is 122133122330101. The next prime is 122133122330179. The reversal of 122133122330113 is 311033221331221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107927331660864 + 14205790669249 = 10388808^2 + 3769057^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122133122330113 is a prime.

It is not a weakly prime, because it can be changed into another prime (122133122330183) 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, 61066561165056 + 61066561165057.

It is an arithmetic number, because the mean of its divisors is an integer number (61066561165057).

Almost surely, 2^{122133122330113} is an apocalyptic number.

It is an amenable number.

122133122330113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122133122330113 is an equidigital number, since it uses as much as digits as its factorization.

122133122330113 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 122133122330113 its reverse (311033221331221), we get a palindrome (433166343661334).

The spelling of 122133122330113 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred thirty thousand, one hundred thirteen".