123315331350105 has 192 divisors, whose sum is σ = 221061170453760. Its totient is φ = 63571450060800.

The previous prime is 123315331350091. The next prime is 123315331350137. The reversal of 123315331350105 is 501053133513321.

123315331350105 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 533 + 13 + 5 + 0 + 105 = 666.

It is not a de Polignac number, because 123315331350105 - 2⁶ = 123315331350041 is a prime.

It is a super-2 number, since 2×123315331350105² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123315331350105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11322676710 + ... + 11322687600.

It is an arithmetic number, because the mean of its divisors is an integer number (1151360262780).

Almost surely, 2^{123315331350105} is an apocalyptic number.

123315331350105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123315331350105 is a deficient number, since it is larger than the sum of its proper divisors (97745839103655).

123315331350105 is a wasteful number, since it uses less digits than its factorization.

123315331350105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11432 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

Adding to 123315331350105 its reverse (501053133513321), we get a palindrome (624368464863426).

The spelling of 123315331350105 in words is "one hundred twenty-three trillion, three hundred fifteen billion, three hundred thirty-one million, three hundred fifty thousand, one hundred five".