13111131200200 has 144 divisors (see below), whose sum is σ = 33838279250580. Its totient is φ = 4720478400000.

The previous prime is 13111131200177. The next prime is 13111131200231. The reversal of 13111131200200 is 200213111131.

It is a happy number.

13111131200200 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 8032156819236 + 5078974380964 = 2834106^2 + 2253658^2 .

It is a super-2 number, since 2×13111131200200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 237891 + ... + 5126290.

Almost surely, 2^{13111131200200} is an apocalyptic number.

13111131200200 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 13111131200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16919139625290).

13111131200200 is an abundant number, since it is smaller than the sum of its proper divisors (20727148050380).

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

13111131200200 is a wasteful number, since it uses less digits than its factorization.

13111131200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364320 (or 5364300 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13111131200200 its reverse (200213111131), we get a palindrome (13311344311331).

It can be divided in two parts, 13111131 and 200200, that added together give a palindrome (13311331).

The spelling of 13111131200200 in words is "thirteen trillion, one hundred eleven billion, one hundred thirty-one million, two hundred thousand, two hundred".