12813081712704 has 784 divisors, whose sum is σ = 48959088337152. Its totient is φ = 3232324694016.

The previous prime is 12813081712693. The next prime is 12813081712751. The reversal of 12813081712704 is 40721718031821.

It is a happy number.

12813081712704 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 308 + 1 + 71 + 270 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12813081712704.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 97585402 + ... + 97716614.

Almost surely, 2^{12813081712704} is an apocalyptic number.

12813081712704 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 12813081712704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24479544168576).

12813081712704 is an abundant number, since it is smaller than the sum of its proper divisors (36146006624448).

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

12813081712704 is a wasteful number, since it uses less digits than its factorization.

12813081712704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131286 (or 131261 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 12813081712704 in words is "twelve trillion, eight hundred thirteen billion, eighty-one million, seven hundred twelve thousand, seven hundred four".