11332213103200 has 144 divisors (see below), whose sum is σ = 30183052286016. Its totient is φ = 4120353036800.

The previous prime is 11332213103173. The next prime is 11332213103221. The reversal of 11332213103200 is 230131223311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86200719 + ... + 86332081.

It is an arithmetic number, because the mean of its divisors is an integer number (209604529764).

Almost surely, 2^{11332213103200} is an apocalyptic number.

11332213103200 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 11332213103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15091526143008).

11332213103200 is an abundant number, since it is smaller than the sum of its proper divisors (18850839182816).

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

11332213103200 is a wasteful number, since it uses less digits than its factorization.

11332213103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141197 (or 141184 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11332213103200 its reverse (230131223311), we get a palindrome (11562344326511).

The spelling of 11332213103200 in words is "eleven trillion, three hundred thirty-two billion, two hundred thirteen million, one hundred three thousand, two hundred".