13682101811 has 32 divisors (see below), whose sum is σ = 16115718528. Its totient is φ = 11374755840.

The previous prime is 13682101787. The next prime is 13682101843. The reversal of 13682101811 is 11810128631.

13682101811 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13682101811 - 2¹⁰ = 13682100787 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13682101861) 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 31 ways as a sum of consecutive naturals, for example, 11241875 + ... + 11243091.

It is an arithmetic number, because the mean of its divisors is an integer number (503616204).

Almost surely, 2^13682101811 is an apocalyptic number.

13682101811 is a deficient number, since it is larger than the sum of its proper divisors (2433616717).

13682101811 is a wasteful number, since it uses less digits than its factorization.

13682101811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631.

The product of its (nonzero) digits is 2304, while the sum is 32.

The spelling of 13682101811 in words is "thirteen billion, six hundred eighty-two million, one hundred one thousand, eight hundred eleven".