123313122002113 has 2 divisors, whose sum is σ = 123313122002114. Its totient is φ = 123313122002112.

The previous prime is 123313122002087. The next prime is 123313122002153. The reversal of 123313122002113 is 311200221313321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122739986700864 + 573135301249 = 11078808^2 + 757057^2 .

It is a cyclic number.

It is not a de Polignac number, because 123313122002113 - 2²⁹ = 123312585131201 is a prime.

It is a super-2 number, since 2×123313122002113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123313122002153) 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 as a sum of consecutive naturals, namely, 61656561001056 + 61656561001057.

It is an arithmetic number, because the mean of its divisors is an integer number (61656561001057).

Almost surely, 2^{123313122002113} is an apocalyptic number.

It is an amenable number.

123313122002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

123313122002113 is an equidigital number, since it uses as much as digits as its factorization.

123313122002113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 123313122002113 its reverse (311200221313321), we get a palindrome (434513343315434).

The spelling of 123313122002113 in words is "one hundred twenty-three trillion, three hundred thirteen billion, one hundred twenty-two million, two thousand, one hundred thirteen".