122113213310113 has 2 divisors, whose sum is σ = 122113213310114. Its totient is φ = 122113213310112.

The previous prime is 122113213310107. The next prime is 122113213310141. The reversal of 122113213310113 is 311013312311221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112312262671504 + 9800950638609 = 10597748^2 + 3130647^2 .

It is a cyclic number.

It is not a de Polignac number, because 122113213310113 - 2⁴⁵ = 86928841221281 is a prime.

It is not a weakly prime, because it can be changed into another prime (122113213319113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056606655056 + 61056606655057.

It is an arithmetic number, because the mean of its divisors is an integer number (61056606655057).

Almost surely, 2^{122113213310113} is an apocalyptic number.

It is an amenable number.

122113213310113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122113213310113 is an equidigital number, since it uses as much as digits as its factorization.

122113213310113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 122113213310113 its reverse (311013312311221), we get a palindrome (433126525621334).

The spelling of 122113213310113 in words is "one hundred twenty-two trillion, one hundred thirteen billion, two hundred thirteen million, three hundred ten thousand, one hundred thirteen".