122131012211333 has 2 divisors, whose sum is σ = 122131012211334. Its totient is φ = 122131012211332.

The previous prime is 122131012211281. The next prime is 122131012211371. The reversal of 122131012211333 is 333112210131221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121947363108484 + 183649102849 = 11042978^2 + 428543^2 .

It is a cyclic number.

It is not a de Polignac number, because 122131012211333 - 2¹⁸ = 122131011949189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122131012211233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065506105666 + 61065506105667.

It is an arithmetic number, because the mean of its divisors is an integer number (61065506105667).

Almost surely, 2^{122131012211333} is an apocalyptic number.

It is an amenable number.

122131012211333 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131012211333 is an equidigital number, since it uses as much as digits as its factorization.

122131012211333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 122131012211333 its reverse (333112210131221), we get a palindrome (455243222342554).

The spelling of 122131012211333 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, twelve million, two hundred eleven thousand, three hundred thirty-three".