122311114245513 has 96 divisors (see below), whose sum is σ = 182783806837632. Its totient is φ = 78783047884800.

The previous prime is 122311114245497. The next prime is 122311114245547. The reversal of 122311114245513 is 315542411113221.

122311114245513 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 1 + 114 + 24 + 5 + 513 = 666.

It is not a de Polignac number, because 122311114245513 - 2⁴ = 122311114245497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122311114244513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3480563923 + ... + 3480599063.

It is an arithmetic number, because the mean of its divisors is an integer number (1903997987892).

Almost surely, 2^{122311114245513} is an apocalyptic number.

It is an amenable number.

122311114245513 is a deficient number, since it is larger than the sum of its proper divisors (60472692592119).

122311114245513 is a wasteful number, since it uses less digits than its factorization.

122311114245513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35815 (or 35812 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 122311114245513 its reverse (315542411113221), we get a palindrome (437853525358734).

The spelling of 122311114245513 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred fourteen million, two hundred forty-five thousand, five hundred thirteen".