13322131200000 has 3456 divisors, whose sum is σ = 60684015974400. Its totient is φ = 2747105280000.

The previous prime is 13322131199999. The next prime is 13322131200017. The reversal of 13322131200000 is 213122331.

13322131200000 is a `hidden beast` number, since 1 + 332 + 2 + 131 + 200 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 283449599977 + ... + 283449600023.

It is an arithmetic number, because the mean of its divisors is an integer number (17559032400).

Almost surely, 2^{13322131200000} is an apocalyptic number.

13322131200000 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 13322131200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30342007987200).

13322131200000 is an abundant number, since it is smaller than the sum of its proper divisors (47361884774400).

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

13322131200000 is an equidigital number, since it uses as much as digits as its factorization.

13322131200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13322131200000 its reverse (213122331), we get a palindrome (13322344322331).

The spelling of 13322131200000 in words is "thirteen trillion, three hundred twenty-two billion, one hundred thirty-one million, two hundred thousand".