13016800 has 72 divisors (see below), whose sum is σ = 32482296. Its totient is φ = 5091840.

The previous prime is 13016797. The next prime is 13016813. The reversal of 13016800 is 861031.

13016800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42247 + ... + 42553.

It is an arithmetic number, because the mean of its divisors is an integer number (451143).

Almost surely, 2^13016800 is an apocalyptic number.

13016800 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 13016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16241148).

13016800 is an abundant number, since it is smaller than the sum of its proper divisors (19465496).

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

13016800 is a wasteful number, since it uses less digits than its factorization.

13016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 13016800 is about 3607.8802640886. The cubic root of 13016800 is about 235.2347134350.

Adding to 13016800 its reverse (861031), we get a palindrome (13877831).

The spelling of 13016800 in words is "thirteen million, sixteen thousand, eight hundred".