122301023031313 has 12 divisors (see below), whose sum is σ = 144217421068260. Its totient is φ = 103393428469632.

The previous prime is 122301023031269. The next prime is 122301023031349. The reversal of 122301023031313 is 313130320103221.

It can be written as a sum of positive squares in 2 ways, for example, as 103897412088064 + 18403610943249 = 10193008^2 + 4289943^2 .

It is not a de Polignac number, because 122301023031313 - 2²¹ = 122301020934161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122301023431313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17095470708 + ... + 17095477861.

It is an arithmetic number, because the mean of its divisors is an integer number (12018118422355).

Almost surely, 2^{122301023031313} is an apocalyptic number.

It is an amenable number.

122301023031313 is a deficient number, since it is larger than the sum of its proper divisors (21916398036947).

122301023031313 is an equidigital number, since it uses as much as digits as its factorization.

122301023031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34190948656 (or 34190948649 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 122301023031313 its reverse (313130320103221), we get a palindrome (435431343134534).

The spelling of 122301023031313 in words is "one hundred twenty-two trillion, three hundred one billion, twenty-three million, thirty-one thousand, three hundred thirteen".