11330313011200 has 360 divisors, whose sum is σ = 28786307558400. Its totient is φ = 4421776834560.

The previous prime is 11330313011167. The next prime is 11330313011201. The reversal of 11330313011200 is 211031303311.

It is a super-2 number, since 2×11330313011200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11330313011201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7873740081 + ... + 7873741519.

It is an arithmetic number, because the mean of its divisors is an integer number (79961965440).

Almost surely, 2^{11330313011200} is an apocalyptic number.

11330313011200 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 11330313011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14393153779200).

11330313011200 is an abundant number, since it is smaller than the sum of its proper divisors (17455994547200).

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

11330313011200 is an equidigital number, since it uses as much as digits as its factorization.

11330313011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11330313011200 its reverse (211031303311), we get a palindrome (11541344314511).

The spelling of 11330313011200 in words is "eleven trillion, three hundred thirty billion, three hundred thirteen million, eleven thousand, two hundred".