13144343131200 has 672 divisors, whose sum is σ = 45323761950720. Its totient is φ = 3331980288000.

The previous prime is 13144343131163. The next prime is 13144343131399. The reversal of 13144343131200 is 213134344131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1229932257 + ... + 1229942943.

Almost surely, 2^{13144343131200} is an apocalyptic number.

13144343131200 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 13144343131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22661880975360).

13144343131200 is an abundant number, since it is smaller than the sum of its proper divisors (32179418819520).

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

13144343131200 is a wasteful number, since it uses less digits than its factorization.

13144343131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10915 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13144343131200 its reverse (213134344131), we get a palindrome (13357477475331).

The spelling of 13144343131200 in words is "thirteen trillion, one hundred forty-four billion, three hundred forty-three million, one hundred thirty-one thousand, two hundred".