11001331113120 has 144 divisors (see below), whose sum is σ = 38836595757960. Its totient is φ = 2832526620672.

The previous prime is 11001331113077. The next prime is 11001331113121. The reversal of 11001331113120 is 2131113310011.

11001331113120 is a `hidden beast` number, since 1 + 10 + 0 + 1 + 331 + 11 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7937584986384 + 3063746126736 = 2817372^2 + 1750356^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11001331113120² (a number of 27 digits) contains 22 as substring.

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 = 11001331113093 and 11001331113102.

It is not an unprimeable number, because it can be changed into a prime (11001331113121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131679159 + ... + 131762678.

Almost surely, 2^{11001331113120} is an apocalyptic number.

11001331113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001331113120 is an abundant number, since it is smaller than the sum of its proper divisors (27835264644840).

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

11001331113120 is a wasteful number, since it uses less digits than its factorization.

11001331113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263441887 (or 263441876 counting only the distinct ones).

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

Adding to 11001331113120 its reverse (2131113310011), we get a palindrome (13132444423131).

The spelling of 11001331113120 in words is "eleven trillion, one billion, three hundred thirty-one million, one hundred thirteen thousand, one hundred twenty".