13200041332000 has 192 divisors, whose sum is σ = 32971239756000. Its totient is φ = 5192725708800.

The previous prime is 13200041331973. The next prime is 13200041332001. The reversal of 13200041332000 is 23314000231.

It can be written as a sum of positive squares in 16 ways, for example, as 207159701904 + 12992881630096 = 455148^2 + 3604564^2 .

It is not an unprimeable number, because it can be changed into a prime (13200041332001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101843236 + ... + 101972764.

Almost surely, 2^{13200041332000} is an apocalyptic number.

13200041332000 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 13200041332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16485619878000).

13200041332000 is an abundant number, since it is smaller than the sum of its proper divisors (19771198424000).

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

13200041332000 is a wasteful number, since it uses less digits than its factorization.

13200041332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129976 (or 129958 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13200041332000 its reverse (23314000231), we get a palindrome (13223355332231).

The spelling of 13200041332000 in words is "thirteen trillion, two hundred billion, forty-one million, three hundred thirty-two thousand".