122131233133313 has 2 divisors, whose sum is σ = 122131233133314. Its totient is φ = 122131233133312.

The previous prime is 122131233133243. The next prime is 122131233133331. The reversal of 122131233133313 is 313331332131221.

Together with next prime (122131233133331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103895455039744 + 18235778093569 = 10192912^2 + 4270337^2 .

It is a cyclic number.

It is not a de Polignac number, because 122131233133313 - 2¹⁰ = 122131233132289 is a prime.

It is a super-2 number, since 2×122131233133313² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122131233133313.

It is not a weakly prime, because it can be changed into another prime (122131233133373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065616566656 + 61065616566657.

It is an arithmetic number, because the mean of its divisors is an integer number (61065616566657).

Almost surely, 2^{122131233133313} is an apocalyptic number.

It is an amenable number.

122131233133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131233133313 is an equidigital number, since it uses as much as digits as its factorization.

122131233133313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 32.

Adding to 122131233133313 its reverse (313331332131221), we get a palindrome (435462565264534).

The spelling of 122131233133313 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, two hundred thirty-three million, one hundred thirty-three thousand, three hundred thirteen".