11131033120 has 48 divisors (see below), whose sum is σ = 26306863128. Its totient is φ = 4450754560.

The previous prime is 11131033091. The next prime is 11131033183. The reversal of 11131033120 is 2133013111.

It can be written as a sum of positive squares in 4 ways, for example, as 11066198416 + 64834704 = 105196^2 + 8052^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11131033094 and 11131033103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475122 + ... + 497998.

Almost surely, 2^11131033120 is an apocalyptic number.

11131033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131033120 is an abundant number, since it is smaller than the sum of its proper divisors (15175830008).

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

11131033120 is a wasteful number, since it uses less digits than its factorization.

11131033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25933 (or 25925 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11131033120 its reverse (2133013111), we get a palindrome (13264046231).

The spelling of 11131033120 in words is "eleven billion, one hundred thirty-one million, thirty-three thousand, one hundred twenty".