13311103302200 has 576 divisors, whose sum is σ = 36875927289600. Its totient is φ = 4448485888000.

The previous prime is 13311103302199. The next prime is 13311103302227. The reversal of 13311103302200 is 220330111331.

It is a super-2 number, since 2×13311103302200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 3125403671 + ... + 3125407929.

It is an arithmetic number, because the mean of its divisors is an integer number (64020707100).

Almost surely, 2^{13311103302200} is an apocalyptic number.

13311103302200 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 13311103302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18437963644800).

13311103302200 is an abundant number, since it is smaller than the sum of its proper divisors (23564823987400).

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

13311103302200 is a wasteful number, since it uses less digits than its factorization.

13311103302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13311103302200 its reverse (220330111331), we get a palindrome (13531433413531).

The spelling of 13311103302200 in words is "thirteen trillion, three hundred eleven billion, one hundred three million, three hundred two thousand, two hundred".