13121688 has 64 divisors (see below), whose sum is σ = 35964000. Its totient is φ = 3971072.

The previous prime is 13121683. The next prime is 13121729. The reversal of 13121688 is 88612131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121683) 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, 11278 + ... + 12386.

Almost surely, 2^13121688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17982000).

13121688 is an abundant number, since it is smaller than the sum of its proper divisors (22842312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13121688 is a wasteful number, since it uses less digits than its factorization.

13121688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1160 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 13121688 is about 3622.3870582808. The cubic root of 13121688 is about 235.8648560737.

The spelling of 13121688 in words is "thirteen million, one hundred twenty-one thousand, six hundred eighty-eight".