11031063120 has 960 divisors, whose sum is σ = 49604825088. Its totient is φ = 2128896000.

The previous prime is 11031063101. The next prime is 11031063163. The reversal of 11031063120 is 2136013011.

11031063120 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 10 + 631 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11031063093 and 11031063102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52279815 + ... + 52280025.

Almost surely, 2^11031063120 is an apocalyptic number.

11031063120 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 11031063120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24802412544).

11031063120 is an abundant number, since it is smaller than the sum of its proper divisors (38573761968).

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

11031063120 is a wasteful number, since it uses less digits than its factorization.

11031063120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11031063120 its reverse (2136013011), we get a palindrome (13167076131).

The spelling of 11031063120 in words is "eleven billion, thirty-one million, sixty-three thousand, one hundred twenty".