12331034013105 has 12 divisors (see below), whose sum is σ = 21373792289460. Its totient is φ = 6576551473632.

The previous prime is 12331034013083. The next prime is 12331034013107. The reversal of 12331034013105 is 50131043013321.

12331034013105 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 0 + 340 + 1 + 310 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9463670910864 + 2867363102241 = 3076308^2 + 1693329^2 .

It is not a de Polignac number, because 12331034013105 - 2¹⁰ = 12331034012081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12331034013107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137011488990 + ... + 137011489079.

It is an arithmetic number, because the mean of its divisors is an integer number (1781149357455).

Almost surely, 2^{12331034013105} is an apocalyptic number.

12331034013105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12331034013105 is a deficient number, since it is larger than the sum of its proper divisors (9042758276355).

12331034013105 is a wasteful number, since it uses less digits than its factorization.

12331034013105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274022978080 (or 274022978077 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 12331034013105 its reverse (50131043013321), we get a palindrome (62462077026426).

The spelling of 12331034013105 in words is "twelve trillion, three hundred thirty-one billion, thirty-four million, thirteen thousand, one hundred five".