123313132105 has 8 divisors (see below), whose sum is σ = 147978520200. Its totient is φ = 98648664576.

The previous prime is 123313132099. The next prime is 123313132141. The reversal of 123313132105 is 501231313321.

It can be written as a sum of positive squares in 4 ways, for example, as 69160584256 + 54152547849 = 262984^2 + 232707^2 .

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 123313132105 - 2⁵ = 123313132073 is a prime.

It is a super-2 number, since 2×123313132105² (a number of 23 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 123313132105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110361 + ... + 508729.

It is an arithmetic number, because the mean of its divisors is an integer number (18497315025).

Almost surely, 2^123313132105 is an apocalyptic number.

It is an amenable number.

123313132105 is a deficient number, since it is larger than the sum of its proper divisors (24665388095).

123313132105 is an equidigital number, since it uses as much as digits as its factorization.

123313132105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460283.

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 123313132105 its reverse (501231313321), we get a palindrome (624544445426).

The spelling of 123313132105 in words is "one hundred twenty-three billion, three hundred thirteen million, one hundred thirty-two thousand, one hundred five".