11001133110120 has 32 divisors (see below), whose sum is σ = 33003399330720. Its totient is φ = 2933635496000.

The previous prime is 11001133110103. The next prime is 11001133110137. The reversal of 11001133110120 is 2101133110011.

It is an interprime number because it is at equal distance from previous prime (11001133110103) and next prime (11001133110137).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11001133110120.

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 7 ways as a sum of consecutive naturals, for example, 45838054506 + ... + 45838054745.

It is an arithmetic number, because the mean of its divisors is an integer number (1031356229085).

Almost surely, 2^{11001133110120} is an apocalyptic number.

11001133110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001133110120 is an abundant number, since it is smaller than the sum of its proper divisors (22002266220600).

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

11001133110120 is a wasteful number, since it uses less digits than its factorization.

11001133110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91676109265 (or 91676109261 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 11001133110120 its reverse (2101133110011), we get a palindrome (13102266220131).

The spelling of 11001133110120 in words is "eleven trillion, one billion, one hundred thirty-three million, one hundred ten thousand, one hundred twenty".