2011133211220 has 192 divisors, whose sum is σ = 5191445145600. Its totient is φ = 639114416640.

The previous prime is 2011133211203. The next prime is 2011133211257. The reversal of 2011133211220 is 221123311102.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 33083974 + ... + 33144706.

It is an arithmetic number, because the mean of its divisors is an integer number (27038776800).

Almost surely, 2^{2011133211220} is an apocalyptic number.

2011133211220 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 2011133211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595722572800).

2011133211220 is an abundant number, since it is smaller than the sum of its proper divisors (3180311934380).

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

2011133211220 is a wasteful number, since it uses less digits than its factorization.

2011133211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61038 (or 61036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2011133211220 its reverse (221123311102), we get a palindrome (2232256522322).

The spelling of 2011133211220 in words is "two trillion, eleven billion, one hundred thirty-three million, two hundred eleven thousand, two hundred twenty".