13387000 has 64 divisors (see below), whose sum is σ = 34201440. Its totient is φ = 4864000.

The previous prime is 13386991. The next prime is 13387043. The reversal of 13387000 is 78331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10392 + ... + 11608.

Almost surely, 2^13387000 is an apocalyptic number.

13387000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13387000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100720).

13387000 is an abundant number, since it is smaller than the sum of its proper divisors (20814440).

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

13387000 is a wasteful number, since it uses less digits than its factorization.

13387000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 13387000 is about 3658.8249479854. The cubic root of 13387000 is about 237.4439387532.

It can be divided in two parts, 1338 and 7000, that added together give a palindrome (8338).

The spelling of 13387000 in words is "thirteen million, three hundred eighty-seven thousand".