11311101120 has 224 divisors, whose sum is σ = 39528414720. Its totient is φ = 2717532160.

The previous prime is 11311101103. The next prime is 11311101163. The reversal of 11311101120 is 2110111311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11311101096 and 11311101105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188541 + ... + 1198019.

Almost surely, 2^11311101120 is an apocalyptic number.

11311101120 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 11311101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19764207360).

11311101120 is an abundant number, since it is smaller than the sum of its proper divisors (28217313600).

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

11311101120 is a wasteful number, since it uses less digits than its factorization.

11311101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623 (or 9613 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11311101120 its reverse (2110111311), we get a palindrome (13421212431).

The spelling of 11311101120 in words is "eleven billion, three hundred eleven million, one hundred one thousand, one hundred twenty".