13200113100 has 144 divisors (see below), whose sum is σ = 39505249280. Its totient is φ = 3399494400.

The previous prime is 13200113099. The next prime is 13200113123. The reversal of 13200113100 is 131100231.

It is a super-2 number, since 2×13200113100² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5755554 + ... + 5757846.

Almost surely, 2^13200113100 is an apocalyptic number.

13200113100 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 13200113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752624640).

13200113100 is an abundant number, since it is smaller than the sum of its proper divisors (26305136180).

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

13200113100 is a wasteful number, since it uses less digits than its factorization.

13200113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13200113100 its reverse (131100231), we get a palindrome (13331213331).

The spelling of 13200113100 in words is "thirteen billion, two hundred million, one hundred thirteen thousand, one hundred".