122231012311313 has 8 divisors (see below), whose sum is σ = 122266670612328. Its totient is φ = 122195356609024.

The previous prime is 122231012311277. The next prime is 122231012311363. The reversal of 122231012311313 is 313113210132221.

It can be written as a sum of positive squares in 4 ways, for example, as 54379828535824 + 67851183775489 = 7374268^2 + 8237183^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122231012311313 - 2²⁴ = 122230995534097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122231012311363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95503745 + ... + 96775137.

It is an arithmetic number, because the mean of its divisors is an integer number (15283333826541).

Almost surely, 2^{122231012311313} is an apocalyptic number.

It is an amenable number.

122231012311313 is a deficient number, since it is larger than the sum of its proper divisors (35658301015).

122231012311313 is a wasteful number, since it uses less digits than its factorization.

122231012311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299363.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 122231012311313 its reverse (313113210132221), we get a palindrome (435344222443534).

The spelling of 122231012311313 in words is "one hundred twenty-two trillion, two hundred thirty-one billion, twelve million, three hundred eleven thousand, three hundred thirteen".