13532200242000 has 320 divisors, whose sum is σ = 47609364591360. Its totient is φ = 3279472896000.

The previous prime is 13532200241977. The next prime is 13532200242007. The reversal of 13532200242000 is 24200223531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13532200242007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 214666486 + ... + 214729514.

It is an arithmetic number, because the mean of its divisors is an integer number (148779264348).

Almost surely, 2^{13532200242000} is an apocalyptic number.

13532200242000 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 13532200242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23804682295680).

13532200242000 is an abundant number, since it is smaller than the sum of its proper divisors (34077164349360).

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

13532200242000 is a wasteful number, since it uses less digits than its factorization.

13532200242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66319 (or 66303 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 13532200242000 its reverse (24200223531), we get a palindrome (13556400465531).

The spelling of 13532200242000 in words is "thirteen trillion, five hundred thirty-two billion, two hundred million, two hundred forty-two thousand".