123313410413505 has 96 divisors (see below), whose sum is σ = 233393899939200. Its totient is φ = 59862242571264.

The previous prime is 123313410413447. The next prime is 123313410413509. The reversal of 123313410413505 is 505314014313321.

123313410413505 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 34 + 104 + 13 + 505 = 666.

It is not a de Polignac number, because 123313410413505 - 2⁹ = 123313410412993 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123313410413505.

It is not an unprimeable number, because it can be changed into a prime (123313410413509) 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 95 ways as a sum of consecutive naturals, for example, 179830186 + ... + 180514604.

It is an arithmetic number, because the mean of its divisors is an integer number (2431186457700).

Almost surely, 2^{123313410413505} is an apocalyptic number.

123313410413505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123313410413505 is a deficient number, since it is larger than the sum of its proper divisors (110080489525695).

123313410413505 is a wasteful number, since it uses less digits than its factorization.

123313410413505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688735 (or 688732 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 123313410413505 its reverse (505314014313321), we get a palindrome (628627424726826).

The spelling of 123313410413505 in words is "one hundred twenty-three trillion, three hundred thirteen billion, four hundred ten million, four hundred thirteen thousand, five hundred five".