2011220113000 has 192 divisors, whose sum is σ = 5397500908800. Its totient is φ = 687140006400.

The previous prime is 2011220112989. The next prime is 2011220113003. The reversal of 2011220113000 is 3110221102.

It is not an unprimeable number, because it can be changed into a prime (2011220113003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2486056596 + ... + 2486057404.

It is an arithmetic number, because the mean of its divisors is an integer number (28111983900).

Almost surely, 2^{2011220113000} is an apocalyptic number.

2011220113000 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 2011220113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698750454400).

2011220113000 is an abundant number, since it is smaller than the sum of its proper divisors (3386280795800).

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

2011220113000 is an frugal number, since it uses more digits than its factorization.

2011220113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2011220113000 its reverse (3110221102), we get a palindrome (2014330334102).

The spelling of 2011220113000 in words is "two trillion, eleven billion, two hundred twenty million, one hundred thirteen thousand".