11130413300 has 18 divisors (see below), whose sum is σ = 24152997078. Its totient is φ = 4452165280.

The previous prime is 11130413267. The next prime is 11130413339. The reversal of 11130413300 is 331403111.

11130413300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1799626084 + 9330787216 = 42422^2 + 96596^2 .

It is a super-2 number, since 2×11130413300² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55651967 + ... + 55652166.

It is an arithmetic number, because the mean of its divisors is an integer number (1341833171).

Almost surely, 2^11130413300 is an apocalyptic number.

11130413300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11130413300 is an abundant number, since it is smaller than the sum of its proper divisors (13022583778).

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

11130413300 is a wasteful number, since it uses less digits than its factorization.

11130413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111304147 (or 111304140 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11130413300 its reverse (331403111), we get a palindrome (11461816411).

The spelling of 11130413300 in words is "eleven billion, one hundred thirty million, four hundred thirteen thousand, three hundred".