1113133000 has 96 divisors (see below), whose sum is σ = 3030126840. Its totient is φ = 381628800.

The previous prime is 1113132997. The next prime is 1113133009. The reversal of 1113133000 is 3313111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 246301636 + 866831364 = 15694^2 + 29442^2 .

It is not an unprimeable number, because it can be changed into a prime (1113133009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37642 + ... + 60358.

Almost surely, 2^1113133000 is an apocalyptic number.

1113133000 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 1113133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515063420).

1113133000 is an abundant number, since it is smaller than the sum of its proper divisors (1916993840).

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

1113133000 is a wasteful number, since it uses less digits than its factorization.

1113133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22752 (or 22731 counting only the distinct ones).

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

The square root of 1113133000 is about 33363.6478820887. The cubic root of 1113133000 is about 1036.3720358497.

Adding to 1113133000 its reverse (3313111), we get a palindrome (1116446111).

The spelling of 1113133000 in words is "one billion, one hundred thirteen million, one hundred thirty-three thousand".