122133003313 has 2 divisors, whose sum is σ = 122133003314. Its totient is φ = 122133003312.

The previous prime is 122133003263. The next prime is 122133003323. The reversal of 122133003313 is 313300331221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121890360384 + 242642929 = 349128^2 + 15577^2 .

It is a cyclic number.

It is not a de Polignac number, because 122133003313 - 2¹⁷ = 122132872241 is a prime.

It is not a weakly prime, because it can be changed into another prime (122133003323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61066501656 + 61066501657.

It is an arithmetic number, because the mean of its divisors is an integer number (61066501657).

Almost surely, 2^122133003313 is an apocalyptic number.

It is an amenable number.

122133003313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122133003313 is an equidigital number, since it uses as much as digits as its factorization.

122133003313 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 122133003313 its reverse (313300331221), we get a palindrome (435433334534).

The spelling of 122133003313 in words is "one hundred twenty-two billion, one hundred thirty-three million, three thousand, three hundred thirteen".