13101132200 has 96 divisors (see below), whose sum is σ = 32834487000. Its totient is φ = 4832732160.

The previous prime is 13101132193. The next prime is 13101132203. The reversal of 13101132200 is 223110131.

It can be written as a sum of positive squares in 12 ways, for example, as 1382203684 + 11718928516 = 37178^2 + 108254^2 .

It is not an unprimeable number, because it can be changed into a prime (13101132203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4025774 + ... + 4029026.

Almost surely, 2^13101132200 is an apocalyptic number.

13101132200 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 13101132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16417243500).

13101132200 is an abundant number, since it is smaller than the sum of its proper divisors (19733354800).

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

13101132200 is a wasteful number, since it uses less digits than its factorization.

13101132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13101132200 its reverse (223110131), we get a palindrome (13324242331).

The spelling of 13101132200 in words is "thirteen billion, one hundred one million, one hundred thirty-two thousand, two hundred".