11130131120 has 80 divisors (see below), whose sum is σ = 26304753888. Its totient is φ = 4378767360.

The previous prime is 11130131113. The next prime is 11130131141. The reversal of 11130131120 is 2113103111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11130131095 and 11130131104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4720982 + ... + 4723338.

Almost surely, 2^11130131120 is an apocalyptic number.

11130131120 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 11130131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152376944).

11130131120 is an abundant number, since it is smaller than the sum of its proper divisors (15174622768).

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

11130131120 is a wasteful number, since it uses less digits than its factorization.

11130131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11130131120 its reverse (2113103111), we get a palindrome (13243234231).

The spelling of 11130131120 in words is "eleven billion, one hundred thirty million, one hundred thirty-one thousand, one hundred twenty".