13200311422144 has 336 divisors, whose sum is σ = 33835505746176. Its totient is φ = 5051260569600.

The previous prime is 13200311422141. The next prime is 13200311422153. The reversal of 13200311422144 is 44122411300231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13200311422141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563457987 + ... + 1563466429.

Almost surely, 2^{13200311422144} is an apocalyptic number.

13200311422144 is a gapful number since it is divisible by the number (14) 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 13200311422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917752873088).

13200311422144 is an abundant number, since it is smaller than the sum of its proper divisors (20635194324032).

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

13200311422144 is a wasteful number, since it uses less digits than its factorization.

13200311422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9284 (or 9267 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13200311422144 its reverse (44122411300231), we get a palindrome (57322722722375).

The spelling of 13200311422144 in words is "thirteen trillion, two hundred billion, three hundred eleven million, four hundred twenty-two thousand, one hundred forty-four".