13727121408001 has 16 divisors (see below), whose sum is σ = 14469537254400. Its totient is φ = 13002682533568.

The previous prime is 13727121407981. The next prime is 13727121408023. The reversal of 13727121408001 is 10080412172731.

It is a cyclic number.

It is not a de Polignac number, because 13727121408001 - 2¹³ = 13727121399809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13727121408101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19648440 + ... + 20335078.

It is an arithmetic number, because the mean of its divisors is an integer number (904346078400).

Almost surely, 2^{13727121408001} is an apocalyptic number.

It is an amenable number.

13727121408001 is a deficient number, since it is larger than the sum of its proper divisors (742415846399).

13727121408001 is a wasteful number, since it uses less digits than its factorization.

13727121408001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699728.

The product of its (nonzero) digits is 18816, while the sum is 37.

The spelling of 13727121408001 in words is "thirteen trillion, seven hundred twenty-seven billion, one hundred twenty-one million, four hundred eight thousand, one".