13200404442100 has 18 divisors (see below), whose sum is σ = 28644877639574. Its totient is φ = 5280161776800.

The previous prime is 13200404442097. The next prime is 13200404442109. The reversal of 13200404442100 is 124440400231.

It can be written as a sum of positive squares in 3 ways, for example, as 1518035911396 + 11682368530704 = 1232086^2 + 3417948^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200404442109) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 66002022111 + ... + 66002022310.

Almost surely, 2^{13200404442100} is an apocalyptic number.

13200404442100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200404442100 is an abundant number, since it is smaller than the sum of its proper divisors (15444473197474).

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

13200404442100 is a wasteful number, since it uses less digits than its factorization.

13200404442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132004044435 (or 132004044428 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 13200404442100 its reverse (124440400231), we get a palindrome (13324844842331).

The spelling of 13200404442100 in words is "thirteen trillion, two hundred billion, four hundred four million, four hundred forty-two thousand, one hundred".