13200133242400 has 72 divisors (see below), whose sum is σ = 34703658019044. Its totient is φ = 4873895347200.

The previous prime is 13200133242377. The next prime is 13200133242403. The reversal of 13200133242400 is 424233100231.

It can be written as a sum of positive squares in 6 ways, for example, as 1773488812176 + 11426644430224 = 1331724^2 + 3380332^2 .

It is a super-2 number, since 2×13200133242400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13200133242403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634611391 + ... + 634632190.

Almost surely, 2^{13200133242400} is an apocalyptic number.

13200133242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200133242400 is an abundant number, since it is smaller than the sum of its proper divisors (21503524776644).

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

13200133242400 is a wasteful number, since it uses less digits than its factorization.

13200133242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269243614 (or 1269243601 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 13200133242400 its reverse (424233100231), we get a palindrome (13624366342631).

The spelling of 13200133242400 in words is "thirteen trillion, two hundred billion, one hundred thirty-three million, two hundred forty-two thousand, four hundred".