11130300020 has 72 divisors (see below), whose sum is σ = 27291456360. Its totient is φ = 3801826560.

The previous prime is 11130300011. The next prime is 11130300029. The reversal of 11130300020 is 2000303111.

It is an interprime number because it is at equal distance from previous prime (11130300011) and next prime (11130300029).

It can be written as a sum of positive squares in 4 ways, for example, as 1556460304 + 9573839716 = 39452^2 + 97846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11130299974 and 11130300010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130300029) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 242510 + ... + 284730.

It is an arithmetic number, because the mean of its divisors is an integer number (379048005).

Almost surely, 2^11130300020 is an apocalyptic number.

11130300020 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 11130300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645728180).

11130300020 is an abundant number, since it is smaller than the sum of its proper divisors (16161156340).

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

11130300020 is a wasteful number, since it uses less digits than its factorization.

11130300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42513 (or 42504 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 11130300020 its reverse (2000303111), we get a palindrome (13130603131).

The spelling of 11130300020 in words is "eleven billion, one hundred thirty million, three hundred thousand, twenty".