13203314342400 has 480 divisors, whose sum is σ = 53681643404928. Its totient is φ = 2785753497600.

The previous prime is 13203314342353. The next prime is 13203314342419. The reversal of 13203314342400 is 424341330231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1605190 + ... + 5383610.

Almost surely, 2^{13203314342400} is an apocalyptic number.

13203314342400 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 13203314342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26840821702464).

13203314342400 is an abundant number, since it is smaller than the sum of its proper divisors (40478329062528).

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

13203314342400 is a wasteful number, since it uses less digits than its factorization.

13203314342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778472 (or 3778451 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13203314342400 its reverse (424341330231), we get a palindrome (13627655672631).

The spelling of 13203314342400 in words is "thirteen trillion, two hundred three billion, three hundred fourteen million, three hundred forty-two thousand, four hundred".