11110330133120 has 256 divisors, whose sum is σ = 28252948690080. Its totient is φ = 4163433922560.

The previous prime is 11110330133113. The next prime is 11110330133131. The reversal of 11110330133120 is 2133103301111.

It can be written as a sum of positive squares in 16 ways, for example, as 814600112704 + 10295730020416 = 902552^2 + 3208696^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11110330133092 and 11110330133101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2461847984 + ... + 2461852496.

Almost surely, 2^{11110330133120} is an apocalyptic number.

11110330133120 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 11110330133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126474345040).

11110330133120 is an abundant number, since it is smaller than the sum of its proper divisors (17142618556960).

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

11110330133120 is a wasteful number, since it uses less digits than its factorization.

11110330133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 11110330133120 its reverse (2133103301111), we get a palindrome (13243433434231).

The spelling of 11110330133120 in words is "eleven trillion, one hundred ten billion, three hundred thirty million, one hundred thirty-three thousand, one hundred twenty".