2011300111320 has 128 divisors (see below), whose sum is σ = 6112326528000. Its totient is φ = 529380034560.

The previous prime is 2011300111319. The next prime is 2011300111361. The reversal of 2011300111320 is 231110031102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2011300111320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29553091 + ... + 29621069.

It is an arithmetic number, because the mean of its divisors is an integer number (47752551000).

Almost surely, 2^{2011300111320} is an apocalyptic number.

2011300111320 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 2011300111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056163264000).

2011300111320 is an abundant number, since it is smaller than the sum of its proper divisors (4101026416680).

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

2011300111320 is a wasteful number, since it uses less digits than its factorization.

2011300111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71193 (or 71189 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2011300111320 its reverse (231110031102), we get a palindrome (2242410142422).

The spelling of 2011300111320 in words is "two trillion, eleven billion, three hundred million, one hundred eleven thousand, three hundred twenty".