13171271014720 has 672 divisors, whose sum is σ = 39835148371200. Its totient is φ = 4144403128320.

The previous prime is 13171271014679. The next prime is 13171271014751. The reversal of 13171271014720 is 2741017217131.

It is a self number, because there is not a number n which added to its sum of digits gives 13171271014720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3357446679 + ... + 3357450601.

It is an arithmetic number, because the mean of its divisors is an integer number (59278494600).

Almost surely, 2^{13171271014720} is an apocalyptic number.

13171271014720 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 13171271014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19917574185600).

13171271014720 is an abundant number, since it is smaller than the sum of its proper divisors (26663877356480).

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

13171271014720 is a wasteful number, since it uses less digits than its factorization.

13171271014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 37.

The spelling of 13171271014720 in words is "thirteen trillion, one hundred seventy-one billion, two hundred seventy-one million, fourteen thousand, seven hundred twenty".