122133303013 has 2 divisors, whose sum is σ = 122133303014. Its totient is φ = 122133303012.

The previous prime is 122133302989. The next prime is 122133303037. The reversal of 122133303013 is 310303331221.

It is a balanced prime because it is at equal distance from previous prime (122133302989) and next prime (122133303037).

It can be written as a sum of positive squares in only one way, i.e., 90840754404 + 31292548609 = 301398^2 + 176897^2 .

It is a cyclic number.

It is not a de Polignac number, because 122133303013 - 2²⁹ = 121596432101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122133300013) 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, 61066651506 + 61066651507.

It is an arithmetic number, because the mean of its divisors is an integer number (61066651507).

Almost surely, 2^122133303013 is an apocalyptic number.

It is an amenable number.

122133303013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122133303013 is an equidigital number, since it uses as much as digits as its factorization.

122133303013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 122133303013 its reverse (310303331221), we get a palindrome (432436634234).

The spelling of 122133303013 in words is "one hundred twenty-two billion, one hundred thirty-three million, three hundred three thousand, thirteen".