122201312313 has 32 divisors (see below), whose sum is σ = 174214022400. Its totient is φ = 75923122176.

The previous prime is 122201312243. The next prime is 122201312341. The reversal of 122201312313 is 313213102221.

It is not a de Polignac number, because 122201312313 - 2¹⁶ = 122201246777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122201312313.

It is not an unprimeable number, because it can be changed into a prime (122201311313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9905533 + ... + 9917861.

It is an arithmetic number, because the mean of its divisors is an integer number (5444188200).

Almost surely, 2^122201312313 is an apocalyptic number.

It is an amenable number.

122201312313 is a deficient number, since it is larger than the sum of its proper divisors (52012710087).

122201312313 is a wasteful number, since it uses less digits than its factorization.

122201312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14241.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122201312313 its reverse (313213102221), we get a palindrome (435414414534).

The spelling of 122201312313 in words is "one hundred twenty-two billion, two hundred one million, three hundred twelve thousand, three hundred thirteen".