3311313113200 has 240 divisors, whose sum is σ = 8305741255680. Its totient is φ = 1267072450560.

The previous prime is 3311313113167. The next prime is 3311313113221. The reversal of 3311313113200 is 23113131133.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1910739534 + ... + 1910741266.

It is an arithmetic number, because the mean of its divisors is an integer number (34607255232).

Almost surely, 2^{3311313113200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311313113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152870627840).

3311313113200 is an abundant number, since it is smaller than the sum of its proper divisors (4994428142480).

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

3311313113200 is a wasteful number, since it uses less digits than its factorization.

3311313113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 3311313113200 its reverse (23113131133), we get a palindrome (3334426244333).

The spelling of 3311313113200 in words is "three trillion, three hundred eleven billion, three hundred thirteen million, one hundred thirteen thousand, two hundred".