13111223413200 has 480 divisors, whose sum is σ = 47347693696512. Its totient is φ = 3073808640000.

The previous prime is 13111223413117. The next prime is 13111223413229. The reversal of 13111223413200 is 231432211131.

13111223413200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57213247 + ... + 57441953.

Almost surely, 2^{13111223413200} is an apocalyptic number.

13111223413200 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 13111223413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23673846848256).

13111223413200 is an abundant number, since it is smaller than the sum of its proper divisors (34236470283312).

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

13111223413200 is a wasteful number, since it uses less digits than its factorization.

13111223413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228883 (or 228872 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13111223413200 its reverse (231432211131), we get a palindrome (13342655624331).

The spelling of 13111223413200 in words is "thirteen trillion, one hundred eleven billion, two hundred twenty-three million, four hundred thirteen thousand, two hundred".