123201322002113 has 8 divisors (see below), whose sum is σ = 123234245119656. Its totient is φ = 123168400000000.

The previous prime is 123201322002071. The next prime is 123201322002211. The reversal of 123201322002113 is 311200223102321.

It can be written as a sum of positive squares in 4 ways, for example, as 97150434546064 + 26050887456049 = 9856492^2 + 5104007^2 .

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 123201322002113 - 2¹⁶ = 123201321936577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123201322002413) 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 7 ways as a sum of consecutive naturals, for example, 250570913 + ... + 251062113.

It is an arithmetic number, because the mean of its divisors is an integer number (15404280639957).

Almost surely, 2^{123201322002113} is an apocalyptic number.

It is an amenable number.

123201322002113 is a deficient number, since it is larger than the sum of its proper divisors (32923117543).

123201322002113 is an equidigital number, since it uses as much as digits as its factorization.

123201322002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557715.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 123201322002113 its reverse (311200223102321), we get a palindrome (434401545104434).

The spelling of 123201322002113 in words is "one hundred twenty-three trillion, two hundred one billion, three hundred twenty-two million, two thousand, one hundred thirteen".