11000311003120 has 160 divisors (see below), whose sum is σ = 26908862722560. Its totient is φ = 4174003553280.

The previous prime is 11000311003111. The next prime is 11000311003141. The reversal of 11000311003120 is 2130011300011.

It is a super-3 number, since 3×11000311003120³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11000311003120.

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, 240647307 + ... + 240693013.

It is an arithmetic number, because the mean of its divisors is an integer number (168180392016).

Almost surely, 2^{11000311003120} is an apocalyptic number.

11000311003120 is a gapful number since it is divisible by the number (10) 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 11000311003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13454431361280).

11000311003120 is an abundant number, since it is smaller than the sum of its proper divisors (15908551719440).

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

11000311003120 is a wasteful number, since it uses less digits than its factorization.

11000311003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46823 (or 46817 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11000311003120 its reverse (2130011300011), we get a palindrome (13130322303131).

The spelling of 11000311003120 in words is "eleven trillion, three hundred eleven million, three thousand, one hundred twenty".