13687101 has 18 divisors (see below), whose sum is σ = 20541690. Its totient is φ = 8771616.

The previous prime is 13687097. The next prime is 13687111. The reversal of 13687101 is 10178631.

13687101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8732025 + 4955076 = 2955^2 + 2226^2 .

It is not a de Polignac number, because 13687101 - 2² = 13687097 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13687111) 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 17 ways as a sum of consecutive naturals, for example, 59655 + ... + 59883.

It is an arithmetic number, because the mean of its divisors is an integer number (1141205).

Almost surely, 2^13687101 is an apocalyptic number.

It is an amenable number.

13687101 is a deficient number, since it is larger than the sum of its proper divisors (6854589).

13687101 is an equidigital number, since it uses as much as digits as its factorization.

13687101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 13687101 is about 3699.6082225014. The cubic root of 13687101 is about 239.2051307516.

The spelling of 13687101 in words is "thirteen million, six hundred eighty-seven thousand, one hundred one".