13686820101 has 16 divisors (see below), whose sum is σ = 20521072320. Its totient is φ = 9014610960.

The previous prime is 13686820057. The next prime is 13686820111. The reversal of 13686820101 is 10102868631.

13686820101 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 13686820101 - 2¹³ = 13686811909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13686820111) 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, 3051490 + ... + 3055971.

It is an arithmetic number, because the mean of its divisors is an integer number (1282567020).

Almost surely, 2^13686820101 is an apocalyptic number.

It is an amenable number.

13686820101 is a deficient number, since it is larger than the sum of its proper divisors (6834252219).

13686820101 is an equidigital number, since it uses as much as digits as its factorization.

13686820101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6107553 (or 6107547 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13686820101 in words is "thirteen billion, six hundred eighty-six million, eight hundred twenty thousand, one hundred one".