13144314432200 has 384 divisors, whose sum is σ = 38317908211200. Its totient is φ = 4088641536000.

The previous prime is 13144314432173. The next prime is 13144314432211. The reversal of 13144314432200 is 223441344131.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 435501110 + ... + 435531290.

It is an arithmetic number, because the mean of its divisors is an integer number (99786219300).

Almost surely, 2^{13144314432200} is an apocalyptic number.

13144314432200 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 13144314432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19158954105600).

13144314432200 is an abundant number, since it is smaller than the sum of its proper divisors (25173593779000).

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

13144314432200 is a wasteful number, since it uses less digits than its factorization.

13144314432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30881 (or 30872 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 13144314432200 its reverse (223441344131), we get a palindrome (13367755776331).

The spelling of 13144314432200 in words is "thirteen trillion, one hundred forty-four billion, three hundred fourteen million, four hundred thirty-two thousand, two hundred".