13442401100200 has 96 divisors (see below), whose sum is σ = 31588764183000. Its totient is φ = 5319381632000.

The previous prime is 13442401100189. The next prime is 13442401100203. The reversal of 13442401100200 is 200110424431.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3919980251236 + 9522420848964 = 1979894^2 + 3085842^2 .

It is not an unprimeable number, because it can be changed into a prime (13442401100203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24555066 + ... + 25096534.

Almost surely, 2^{13442401100200} is an apocalyptic number.

13442401100200 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 13442401100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15794382091500).

13442401100200 is an abundant number, since it is smaller than the sum of its proper divisors (18146363082800).

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

13442401100200 is a wasteful number, since it uses less digits than its factorization.

13442401100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542815 (or 542806 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 13442401100200 its reverse (200110424431), we get a palindrome (13642511524631).

The spelling of 13442401100200 in words is "thirteen trillion, four hundred forty-two billion, four hundred one million, one hundred thousand, two hundred".