11131302100 has 36 divisors (see below), whose sum is σ = 24162959548. Its totient is φ = 4451040000.

The previous prime is 11131302089. The next prime is 11131302107. The reversal of 11131302100 is 120313111.

11131302100 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 6 ways, for example, as 3737365956 + 7393936144 = 61134^2 + 85988^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131302107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 313240 + ... + 346960.

Almost surely, 2^11131302100 is an apocalyptic number.

11131302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131302100 is an abundant number, since it is smaller than the sum of its proper divisors (13031657448).

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

11131302100 is a wasteful number, since it uses less digits than its factorization.

11131302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37036 (or 37029 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11131302100 its reverse (120313111), we get a palindrome (11251615211).

The spelling of 11131302100 in words is "eleven billion, one hundred thirty-one million, three hundred two thousand, one hundred".