3300113321000 has 128 divisors (see below), whose sum is σ = 8251534605600. Its totient is φ = 1230996787200.

The previous prime is 3300113320979. The next prime is 3300113321009. The reversal of 3300113321000 is 1233110033.

It can be written as a sum of positive squares in 16 ways, for example, as 5968180516 + 3294145140484 = 77254^2 + 1814978^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 3300113321000.

It is not an unprimeable number, because it can be changed into a prime (3300113321009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962522 + ... + 2743478.

Almost surely, 2^{3300113321000} 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 3300113321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125767302800).

3300113321000 is an abundant number, since it is smaller than the sum of its proper divisors (4951421284600).

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

3300113321000 is a wasteful number, since it uses less digits than its factorization.

3300113321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781104 (or 1781090 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 3300113321000 its reverse (1233110033), we get a palindrome (3301346431033).

The spelling of 3300113321000 in words is "three trillion, three hundred billion, one hundred thirteen million, three hundred twenty-one thousand".