13111000003200 has 384 divisors, whose sum is σ = 49158485798400. Its totient is φ = 3040231321600.

The previous prime is 13111000003187. The next prime is 13111000003247. The reversal of 13111000003200 is 230000011131.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270270 + ... + 5127869.

It is an arithmetic number, because the mean of its divisors is an integer number (128016890100).

Almost surely, 2^{13111000003200} is an apocalyptic number.

13111000003200 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 13111000003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579242899200).

13111000003200 is an abundant number, since it is smaller than the sum of its proper divisors (36047485795200).

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

13111000003200 is a wasteful number, since it uses less digits than its factorization.

13111000003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398200 (or 5398183 counting only the distinct ones).

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

Adding to 13111000003200 its reverse (230000011131), we get a palindrome (13341000014331).

The spelling of 13111000003200 in words is "thirteen trillion, one hundred eleven billion, three thousand, two hundred".