12813242160 has 160 divisors (see below), whose sum is σ = 40247424000. Its totient is φ = 3371802624.

The previous prime is 12813242137. The next prime is 12813242177. The reversal of 12813242160 is 6124231821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11616169 + ... + 11617271.

It is an arithmetic number, because the mean of its divisors is an integer number (251546400).

Almost surely, 2^12813242160 is an apocalyptic number.

12813242160 is a gapful number since it is divisible by the number (10) 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 12813242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20123712000).

12813242160 is an abundant number, since it is smaller than the sum of its proper divisors (27434181840).

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

12813242160 is a wasteful number, since it uses less digits than its factorization.

12813242160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 12813242160 its reverse (6124231821), we get a palindrome (18937473981).

The spelling of 12813242160 in words is "twelve billion, eight hundred thirteen million, two hundred forty-two thousand, one hundred sixty".