13100200 has 48 divisors (see below), whose sum is σ = 32257980. Its totient is φ = 4930560.

The previous prime is 13100189. The next prime is 13100207. The reversal of 13100200 is 200131.

13100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10771524 + 2328676 = 3282^2 + 1526^2 .

It is not an unprimeable number, because it can be changed into a prime (13100207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474 + ... + 5326.

Almost surely, 2^13100200 is an apocalyptic number.

13100200 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 13100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128990).

13100200 is an abundant number, since it is smaller than the sum of its proper divisors (19157780).

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

13100200 is a wasteful number, since it uses less digits than its factorization.

13100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 13100200 is about 3619.4198430135. The cubic root of 13100200 is about 235.7360354236.

Adding to 13100200 its reverse (200131), we get a palindrome (13300331).

The spelling of 13100200 in words is "thirteen million, one hundred thousand, two hundred".