12133102313 has 16 divisors (see below), whose sum is σ = 12460009296. Its totient is φ = 11811225600.

The previous prime is 12133102297. The next prime is 12133102349. The reversal of 12133102313 is 31320133121.

12133102313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 642977449 + 11490124864 = 25357^2 + 107192^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133102313 - 2⁴ = 12133102297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12133102013) 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 15 ways as a sum of consecutive naturals, for example, 2837345 + ... + 2841617.

It is an arithmetic number, because the mean of its divisors is an integer number (778750581).

Almost surely, 2^12133102313 is an apocalyptic number.

It is an amenable number.

12133102313 is a deficient number, since it is larger than the sum of its proper divisors (326906983).

12133102313 is an equidigital number, since it uses as much as digits as its factorization.

12133102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12133102313 its reverse (31320133121), we get a palindrome (43453235434).

The spelling of 12133102313 in words is "twelve billion, one hundred thirty-three million, one hundred two thousand, three hundred thirteen".