13100800 has 108 divisors (see below), whose sum is σ = 34216560. Its totient is φ = 4956160.

The previous prime is 13100783. The next prime is 13100809. The reversal of 13100800 is 800131.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 147156 + ... + 147244.

It is an arithmetic number, because the mean of its divisors is an integer number (316820).

Almost surely, 2^13100800 is an apocalyptic number.

13100800 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 13100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108280).

13100800 is an abundant number, since it is smaller than the sum of its proper divisors (21115760).

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

13100800 is an equidigital number, since it uses as much as digits as its factorization.

13100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 13100800 is about 3619.5027282764. The cubic root of 13100800 is about 235.7396343372.

Adding to 13100800 its reverse (800131), we get a palindrome (13900931).

The spelling of 13100800 in words is "thirteen million, one hundred thousand, eight hundred".