11300131200 has 288 divisors, whose sum is σ = 39547703160. Its totient is φ = 2835415040.

The previous prime is 11300131189. The next prime is 11300131211. The reversal of 11300131200 is 213100311.

It is an interprime number because it is at equal distance from previous prime (11300131189) and next prime (11300131211).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2772364 + ... + 2776436.

Almost surely, 2^11300131200 is an apocalyptic number.

11300131200 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 11300131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19773851580).

11300131200 is an abundant number, since it is smaller than the sum of its proper divisors (28247571960).

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

11300131200 is a wasteful number, since it uses less digits than its factorization.

11300131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11300131200 its reverse (213100311), we get a palindrome (11513231511).

The spelling of 11300131200 in words is "eleven billion, three hundred million, one hundred thirty-one thousand, two hundred".