12731335218 has 192 divisors, whose sum is σ = 33456783360. Its totient is φ = 3553647552.

The previous prime is 12731335181. The next prime is 12731335219. The reversal of 12731335218 is 81253313721.

It is a happy number.

12731335218 is a `hidden beast` number, since 127 + 3 + 1 + 3 + 3 + 521 + 8 = 666.

12731335218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12731335219) 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, 34132080 + ... + 34132452.

It is an arithmetic number, because the mean of its divisors is an integer number (174254080).

Almost surely, 2^12731335218 is an apocalyptic number.

12731335218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12731335218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16728391680).

12731335218 is an abundant number, since it is smaller than the sum of its proper divisors (20725448142).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12731335218 is a wasteful number, since it uses less digits than its factorization.

12731335218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

Adding to 12731335218 its reverse (81253313721), we get a palindrome (93984648939).

The spelling of 12731335218 in words is "twelve billion, seven hundred thirty-one million, three hundred thirty-five thousand, two hundred eighteen".