11330313120000 has 1620 divisors, whose sum is σ = 47978656165440. Its totient is φ = 2562997248000.

The previous prime is 11330313119963. The next prime is 11330313120019. The reversal of 11330313120000 is 2131303311.

It is a happy number.

11330313120000 is a `hidden beast` number, since 1 + 1 + 330 + 3 + 131 + 200 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 7267679221 + ... + 7267680779.

Almost surely, 2^{11330313120000} is an apocalyptic number.

11330313120000 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 11330313120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23989328082720).

11330313120000 is an abundant number, since it is smaller than the sum of its proper divisors (36648343045440).

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

11330313120000 is a wasteful number, since it uses less digits than its factorization.

11330313120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1679 counting only the distinct ones).

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

Adding to 11330313120000 its reverse (2131303311), we get a palindrome (11332444423311).

The spelling of 11330313120000 in words is "eleven trillion, three hundred thirty billion, three hundred thirteen million, one hundred twenty thousand".