13401314403200 has 96 divisors (see below), whose sum is σ = 33107196108000. Its totient is φ = 5360240517120.

The previous prime is 13401314403193. The next prime is 13401314403227. The reversal of 13401314403200 is 230441310431.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13401314403200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66199736 + ... + 66401864.

It is an arithmetic number, because the mean of its divisors is an integer number (344866626125).

Almost surely, 2^{13401314403200} is an apocalyptic number.

13401314403200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13401314403200 is an abundant number, since it is smaller than the sum of its proper divisors (19705881704800).

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

13401314403200 is a wasteful number, since it uses less digits than its factorization.

13401314403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222872 (or 222855 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13401314403200 its reverse (230441310431), we get a palindrome (13631755713631).

The spelling of 13401314403200 in words is "thirteen trillion, four hundred one billion, three hundred fourteen million, four hundred three thousand, two hundred".