12813310104 has 256 divisors, whose sum is σ = 39186063360. Its totient is φ = 3414528000.

The previous prime is 12813310099. The next prime is 12813310127. The reversal of 12813310104 is 40101331821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16837084 + ... + 16837844.

It is an arithmetic number, because the mean of its divisors is an integer number (153070560).

Almost surely, 2^12813310104 is an apocalyptic number.

12813310104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12813310104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19593031680).

12813310104 is an abundant number, since it is smaller than the sum of its proper divisors (26372753256).

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

12813310104 is a wasteful number, since it uses less digits than its factorization.

12813310104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 12813310104 its reverse (40101331821), we get a palindrome (52914641925).

The spelling of 12813310104 in words is "twelve billion, eight hundred thirteen million, three hundred ten thousand, one hundred four".