13314000 has 160 divisors (see below), whose sum is σ = 49211136. Its totient is φ = 3033600.

The previous prime is 13313983. The next prime is 13314029. The reversal of 13314000 is 41331.

13314000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41842 + ... + 42158.

Almost surely, 2^13314000 is an apocalyptic number.

13314000 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 13314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24605568).

13314000 is an abundant number, since it is smaller than the sum of its proper divisors (35897136).

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

13314000 is a wasteful number, since it uses less digits than its factorization.

13314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13314000 is about 3648.8354306546. The cubic root of 13314000 is about 237.0115538529.

Adding to 13314000 its reverse (41331), we get a palindrome (13355331).

The spelling of 13314000 in words is "thirteen million, three hundred fourteen thousand".