13188681 has 24 divisors (see below), whose sum is σ = 21003840. Its totient is φ = 7908000.

The previous prime is 13188653. The next prime is 13188709. The reversal of 13188681 is 18688131.

13188681 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13188653) and next prime (13188709).

It is not a de Polignac number, because 13188681 - 2¹¹ = 13186633 is a prime.

It is a super-2 number, since 2×13188681² = 347882613039522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13188601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9340 + ... + 10658.

It is an arithmetic number, because the mean of its divisors is an integer number (875160).

Almost surely, 2^13188681 is an apocalyptic number.

13188681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13188681 is a deficient number, since it is larger than the sum of its proper divisors (7815159).

13188681 is a wasteful number, since it uses less digits than its factorization.

13188681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1434 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 13188681 is about 3631.6223647290. The cubic root of 13188681 is about 236.2655788836.

It can be divided in two parts, 1318 and 8681, that added together give a palindrome (9999).

The spelling of 13188681 in words is "thirteen million, one hundred eighty-eight thousand, six hundred eighty-one".