122413101314281 has 2 divisors, whose sum is σ = 122413101314282. Its totient is φ = 122413101314280.

The previous prime is 122413101314279. The next prime is 122413101314293. The reversal of 122413101314281 is 182413101314221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68457685975056 + 53955415339225 = 8273916^2 + 7345435^2 .

It is a cyclic number.

It is not a de Polignac number, because 122413101314281 - 2¹ = 122413101314279 is a prime.

It is a super-2 number, since 2×122413101314281² (a number of 29 digits) contains 22 as substring.

Together with 122413101314279, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122413101314381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61206550657140 + 61206550657141.

It is an arithmetic number, because the mean of its divisors is an integer number (61206550657141).

Almost surely, 2^{122413101314281} is an apocalyptic number.

It is an amenable number.

122413101314281 is a deficient number, since it is larger than the sum of its proper divisors (1).

122413101314281 is an equidigital number, since it uses as much as digits as its factorization.

122413101314281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 122413101314281 in words is "one hundred twenty-two trillion, four hundred thirteen billion, one hundred one million, three hundred fourteen thousand, two hundred eighty-one".