13200221440100 has 36 divisors (see below), whose sum is σ = 28645097781300. Its totient is φ = 5279974796160.

The previous prime is 13200221440031. The next prime is 13200221440121. The reversal of 13200221440100 is 104412200231.

It can be written as a sum of positive squares in 6 ways, for example, as 1331328284224 + 11868893155876 = 1153832^2 + 3445126^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3320246 + ... + 6117554.

Almost surely, 2^{13200221440100} is an apocalyptic number.

13200221440100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200221440100 is an abundant number, since it is smaller than the sum of its proper divisors (15444876341200).

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

13200221440100 is a wasteful number, since it uses less digits than its factorization.

13200221440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844512 (or 2844505 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13200221440100 its reverse (104412200231), we get a palindrome (13304633640331).

The spelling of 13200221440100 in words is "thirteen trillion, two hundred billion, two hundred twenty-one million, four hundred forty thousand, one hundred".