11330311110120 has 384 divisors, whose sum is σ = 37435010371200. Its totient is φ = 2971696896000.

The previous prime is 11330311110101. The next prime is 11330311110121. The reversal of 11330311110120 is 2101111303311.

11330311110120 is a `hidden beast` number, since 1 + 1 + 330 + 311 + 1 + 1 + 0 + 1 + 20 = 666.

11330311110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11330311110093 and 11330311110102.

It is not an unprimeable number, because it can be changed into a prime (11330311110121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5439418599 + ... + 5439420681.

It is an arithmetic number, because the mean of its divisors is an integer number (97487006175).

Almost surely, 2^{11330311110120} is an apocalyptic number.

11330311110120 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 11330311110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18717505185600).

11330311110120 is an abundant number, since it is smaller than the sum of its proper divisors (26104699261080).

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

11330311110120 is a wasteful number, since it uses less digits than its factorization.

11330311110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11330311110120 its reverse (2101111303311), we get a palindrome (13431422413431).

The spelling of 11330311110120 in words is "eleven trillion, three hundred thirty billion, three hundred eleven million, one hundred ten thousand, one hundred twenty".