122131123313 has 8 divisors (see below), whose sum is σ = 123234046056. Its totient is φ = 121028588800.

The previous prime is 122131123307. The next prime is 122131123319. The reversal of 122131123313 is 313321131221.

It is an interprime number because it is at equal distance from previous prime (122131123307) and next prime (122131123319).

It can be written as a sum of positive squares in 4 ways, for example, as 13869066289 + 108262057024 = 117767^2 + 329032^2 .

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 122131123313 - 2⁶ = 122131123249 is a prime.

It is a super-2 number, since 2×122131123313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122131123319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554603 + ... + 742863.

It is an arithmetic number, because the mean of its divisors is an integer number (15404255757).

Almost surely, 2^122131123313 is an apocalyptic number.

It is an amenable number.

122131123313 is a deficient number, since it is larger than the sum of its proper divisors (1102922743).

122131123313 is a wasteful number, since it uses less digits than its factorization.

122131123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194115.

The product of its digits is 648, while the sum is 23.

Adding to 122131123313 its reverse (313321131221), we get a palindrome (435452254534).

The spelling of 122131123313 in words is "one hundred twenty-two billion, one hundred thirty-one million, one hundred twenty-three thousand, three hundred thirteen".