13111222313200 has 180 divisors, whose sum is σ = 34772279212944. Its totient is φ = 4747250816000.

The previous prime is 13111222313141. The next prime is 13111222313207. The reversal of 13111222313200 is 231322211131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111222313207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10695885 + ... + 11858515.

Almost surely, 2^{13111222313200} is an apocalyptic number.

13111222313200 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 13111222313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17386139606472).

13111222313200 is an abundant number, since it is smaller than the sum of its proper divisors (21661056899744).

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

13111222313200 is a wasteful number, since it uses less digits than its factorization.

13111222313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162904 (or 1162882 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13111222313200 its reverse (231322211131), we get a palindrome (13342544524331).

The spelling of 13111222313200 in words is "thirteen trillion, one hundred eleven billion, two hundred twenty-two million, three hundred thirteen thousand, two hundred".