13171142720016 has 60 divisors (see below), whose sum is σ = 36864012095872. Its totient is φ = 4390010993088.

The previous prime is 13171142719991. The next prime is 13171142720023. The reversal of 13171142720016 is 61002724117131.

13171142720016 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 11 + 427 + 200 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2135596 + ... + 5559051.

Almost surely, 2^{13171142720016} is an apocalyptic number.

13171142720016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13171142720016 is an abundant number, since it is smaller than the sum of its proper divisors (23692869375856).

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

13171142720016 is a wasteful number, since it uses less digits than its factorization.

13171142720016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706548 (or 7706539 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 13171142720016 its reverse (61002724117131), we get a palindrome (74173866837147).

The spelling of 13171142720016 in words is "thirteen trillion, one hundred seventy-one billion, one hundred forty-two million, seven hundred twenty thousand, sixteen".