2011013332120 has 128 divisors (see below), whose sum is σ = 4959076147200. Its totient is φ = 729447814656.

The previous prime is 2011013332109. The next prime is 2011013332121. The reversal of 2011013332120 is 212333101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011013332121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12707641 + ... + 12864919.

It is an arithmetic number, because the mean of its divisors is an integer number (38742782400).

Almost surely, 2^{2011013332120} is an apocalyptic number.

2011013332120 is a gapful number since it is divisible by the number (20) 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 2011013332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479538073600).

2011013332120 is an abundant number, since it is smaller than the sum of its proper divisors (2948062815080).

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

2011013332120 is a wasteful number, since it uses less digits than its factorization.

2011013332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157737 (or 157733 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2011013332120 its reverse (212333101102), we get a palindrome (2223346433222).

The spelling of 2011013332120 in words is "two trillion, eleven billion, thirteen million, three hundred thirty-two thousand, one hundred twenty".