13386681 has 64 divisors (see below), whose sum is σ = 25436160. Its totient is φ = 6756480.

The previous prime is 13386677. The next prime is 13386683. The reversal of 13386681 is 18668331.

13386681 = 40³ + 41³ + ... + 86³.

13386681 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 13386681 - 2² = 13386677 is a prime.

It is a super-2 number, since 2×13386681² = 358406456391522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13386683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97645 + ... + 97781.

It is an arithmetic number, because the mean of its divisors is an integer number (397440).

Almost surely, 2^13386681 is an apocalyptic number.

13386681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13386681 is a deficient number, since it is larger than the sum of its proper divisors (12049479).

13386681 is a wasteful number, since it uses less digits than its factorization.

13386681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13386681 is about 3658.7813544950. The cubic root of 13386681 is about 237.4420527140.

The spelling of 13386681 in words is "thirteen million, three hundred eighty-six thousand, six hundred eighty-one".