1100131200 has 768 divisors, whose sum is σ = 4917542400. Its totient is φ = 234455040.

The previous prime is 1100131189. The next prime is 1100131231. The reversal of 1100131200 is 21310011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 95 ways as a sum of consecutive naturals, for example, 10281547 + ... + 10281653.

It is an arithmetic number, because the mean of its divisors is an integer number (6403050).

Almost surely, 2^1100131200 is an apocalyptic number.

1100131200 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 1100131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458771200).

1100131200 is an abundant number, since it is smaller than the sum of its proper divisors (3817411200).

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

1100131200 is a wasteful number, since it uses less digits than its factorization.

1100131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1100131200 is about 33168.2257590001. The cubic root of 1100131200 is about 1032.3211547797.

Adding to 1100131200 its reverse (21310011), we get a palindrome (1121441211).

The spelling of 1100131200 in words is "one billion, one hundred million, one hundred thirty-one thousand, two hundred".