13540817011 has 16 divisors (see below), whose sum is σ = 13781621920. Its totient is φ = 13302558720.

The previous prime is 13540817009. The next prime is 13540817023. The reversal of 13540817011 is 11071804531.

It is a happy number.

13540817011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13540817011 - 2¹ = 13540817009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13540827011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11743411 + ... + 11744563.

It is an arithmetic number, because the mean of its divisors is an integer number (861351370).

Almost surely, 2^13540817011 is an apocalyptic number.

13540817011 is a deficient number, since it is larger than the sum of its proper divisors (240804909).

13540817011 is a wasteful number, since it uses less digits than its factorization.

13540817011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086.

The product of its (nonzero) digits is 3360, while the sum is 31.

The spelling of 13540817011 in words is "thirteen billion, five hundred forty million, eight hundred seventeen thousand, eleven".