3301133011200 has 432 divisors, whose sum is σ = 12522348518400. Its totient is φ = 849945600000.

The previous prime is 3301133011199. The next prime is 3301133011219. The reversal of 3301133011200 is 21103311033.

It is a happy number.

3301133011200 is a `hidden beast` number, since 3 + 301 + 1 + 330 + 11 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4681825 + ... + 5340575.

Almost surely, 2^{3301133011200} is an apocalyptic number.

3301133011200 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 3301133011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261174259200).

3301133011200 is an abundant number, since it is smaller than the sum of its proper divisors (9221215507200).

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

3301133011200 is a wasteful number, since it uses less digits than its factorization.

3301133011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658815 (or 658790 counting only the distinct ones).

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

Adding to 3301133011200 its reverse (21103311033), we get a palindrome (3322236322233).

The spelling of 3301133011200 in words is "three trillion, three hundred one billion, one hundred thirty-three million, eleven thousand, two hundred".