3331100113200 has 360 divisors, whose sum is σ = 11733229709760. Its totient is φ = 875001139200.

The previous prime is 3331100113189. The next prime is 3331100113223. The reversal of 3331100113200 is 23110011333.

It is a happy number.

3331100113200 is a `hidden beast` number, since 3 + 331 + 1 + 0 + 0 + 11 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3331100113200² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 215751081 + ... + 215766519.

Almost surely, 2^{3331100113200} is an apocalyptic number.

3331100113200 is a gapful number since it is divisible by the number (30) 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 3331100113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866614854880).

3331100113200 is an abundant number, since it is smaller than the sum of its proper divisors (8402129596560).

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

3331100113200 is a wasteful number, since it uses less digits than its factorization.

3331100113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16357 (or 16343 counting only the distinct ones).

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

Adding to 3331100113200 its reverse (23110011333), we get a palindrome (3354210124533).

The spelling of 3331100113200 in words is "three trillion, three hundred thirty-one billion, one hundred million, one hundred thirteen thousand, two hundred".