13203121344400 has 60 divisors (see below), whose sum is σ = 34160537430292. Its totient is φ = 4874998648320.

The previous prime is 13203121344377. The next prime is 13203121344409. The reversal of 13203121344400 is 444312130231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 685564128144 + 12517557216256 = 827988^2 + 3538016^2 .

It is a super-2 number, since 2×13203121344400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13203121344409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1269525699 + ... + 1269536098.

Almost surely, 2^{13203121344400} is an apocalyptic number.

13203121344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13203121344400 is an abundant number, since it is smaller than the sum of its proper divisors (20957416085892).

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

13203121344400 is a wasteful number, since it uses less digits than its factorization.

13203121344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539061828 (or 2539061817 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13203121344400 its reverse (444312130231), we get a palindrome (13647433474631).

The spelling of 13203121344400 in words is "thirteen trillion, two hundred three billion, one hundred twenty-one million, three hundred forty-four thousand, four hundred".