2011113331304 has 256 divisors, whose sum is σ = 4811249664000. Its totient is φ = 765486858240.

The previous prime is 2011113331303. The next prime is 2011113331307. The reversal of 2011113331304 is 4031333111102.

It is a self number, because there is not a number n which added to its sum of digits gives 2011113331304.

It is not an unprimeable number, because it can be changed into a prime (2011113331303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2188370957 + ... + 2188371875.

It is an arithmetic number, because the mean of its divisors is an integer number (18793944000).

Almost surely, 2^{2011113331304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011113331304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405624832000).

2011113331304 is an abundant number, since it is smaller than the sum of its proper divisors (2800136332696).

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

2011113331304 is a wasteful number, since it uses less digits than its factorization.

2011113331304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 2011113331304 its reverse (4031333111102), we get a palindrome (6042446442406).

The spelling of 2011113331304 in words is "two trillion, eleven billion, one hundred thirteen million, three hundred thirty-one thousand, three hundred four".