123313122002123 has 32 divisors (see below), whose sum is σ = 127575269015040. Its totient is φ = 119118200832000.

The previous prime is 123313122002113. The next prime is 123313122002153. The reversal of 123313122002123 is 321200221313321.

It is a cyclic number.

It is not a de Polignac number, because 123313122002123 - 2¹⁰ = 123313122001099 is a prime.

It is a super-2 number, since 2×123313122002123² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123313122002092 and 123313122002101.

It is not an unprimeable number, because it can be changed into a prime (123313122002113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1373779718 + ... + 1373869476.

It is an arithmetic number, because the mean of its divisors is an integer number (3986727156720).

Almost surely, 2^{123313122002123} is an apocalyptic number.

123313122002123 is a deficient number, since it is larger than the sum of its proper divisors (4262147012917).

123313122002123 is a wasteful number, since it uses less digits than its factorization.

123313122002123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90839.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 123313122002123 its reverse (321200221313321), we get a palindrome (444513343315444).

The spelling of 123313122002123 in words is "one hundred twenty-three trillion, three hundred thirteen billion, one hundred twenty-two million, two thousand, one hundred twenty-three".