2011133113120 has 96 divisors (see below), whose sum is σ = 4764222792000. Its totient is φ = 802267960320.

The previous prime is 2011133113091. The next prime is 2011133113183. The reversal of 2011133113120 is 213113311102.

It is a super-2 number, since 2×2011133113120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122226814 + ... + 122243266.

It is an arithmetic number, because the mean of its divisors is an integer number (49627320750).

Almost surely, 2^{2011133113120} is an apocalyptic number.

2011133113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011133113120 is an abundant number, since it is smaller than the sum of its proper divisors (2753089678880).

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

2011133113120 is a wasteful number, since it uses less digits than its factorization.

2011133113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18498 (or 18490 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 2011133113120 its reverse (213113311102), we get a palindrome (2224246424222).

The spelling of 2011133113120 in words is "two trillion, eleven billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred twenty".