11131033000 has 64 divisors (see below), whose sum is σ = 26072701200. Its totient is φ = 4447955200.

The previous prime is 11131032989. The next prime is 11131033003. The reversal of 11131033000 is 33013111.

It is a happy number.

11131033000 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 8 ways, for example, as 595652836 + 10535380164 = 24406^2 + 102642^2 .

It is not an unprimeable number, because it can be changed into a prime (11131033003) 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 15 ways as a sum of consecutive naturals, for example, 1103982 + ... + 1114018.

Almost surely, 2^11131033000 is an apocalyptic number.

11131033000 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 11131033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036350600).

11131033000 is an abundant number, since it is smaller than the sum of its proper divisors (14941668200).

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

11131033000 is a wasteful number, since it uses less digits than its factorization.

11131033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11167 (or 11153 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 11131033000 its reverse (33013111), we get a palindrome (11164046111).

The spelling of 11131033000 in words is "eleven billion, one hundred thirty-one million, thirty-three thousand".