13680101 has 16 divisors (see below), whose sum is σ = 14878080. Its totient is φ = 12545280.

The previous prime is 13680097. The next prime is 13680109. The reversal of 13680101 is 10108631.

It is a cyclic number.

It is not a de Polignac number, because 13680101 - 2² = 13680097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83846 + ... + 84008.

It is an arithmetic number, because the mean of its divisors is an integer number (929880).

Almost surely, 2^13680101 is an apocalyptic number.

It is an amenable number.

13680101 is a deficient number, since it is larger than the sum of its proper divisors (1197979).

13680101 is a wasteful number, since it uses less digits than its factorization.

13680101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 13680101 is about 3698.6620553925. The cubic root of 13680101 is about 239.1643448699.

Adding to 13680101 its reverse (10108631), we get a palindrome (23788732).

The spelling of 13680101 in words is "thirteen million, six hundred eighty thousand, one hundred one".