13313300110200 has 576 divisors, whose sum is σ = 50346082332000. Its totient is φ = 3132867870720.

The previous prime is 13313300110171. The next prime is 13313300110207. The reversal of 13313300110200 is 201100331331.

It is a happy number.

13313300110200 is a `hidden beast` number, since 1 + 331 + 3 + 300 + 1 + 10 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313300110207) 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 143 ways as a sum of consecutive naturals, for example, 56277766 + ... + 56513834.

Almost surely, 2^{13313300110200} is an apocalyptic number.

13313300110200 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 13313300110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25173041166000).

13313300110200 is an abundant number, since it is smaller than the sum of its proper divisors (37032782221800).

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

13313300110200 is a wasteful number, since it uses less digits than its factorization.

13313300110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236224 (or 236212 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13313300110200 its reverse (201100331331), we get a palindrome (13514400441531).

The spelling of 13313300110200 in words is "thirteen trillion, three hundred thirteen billion, three hundred million, one hundred ten thousand, two hundred".