1133316000 has 144 divisors (see below), whose sum is σ = 4022266248. Its totient is φ = 302208000.

The previous prime is 1133315959. The next prime is 1133316001. The reversal of 1133316000 is 6133311.

1133316000 is a `hidden beast` number, since 1 + 1 + 33 + 31 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101364624 + 1031951376 = 10068^2 + 32124^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1133316001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20260 + ... + 51740.

Almost surely, 2^1133316000 is an apocalyptic number.

1133316000 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 1133316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011133124).

1133316000 is an abundant number, since it is smaller than the sum of its proper divisors (2888950248).

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

1133316000 is a wasteful number, since it uses less digits than its factorization.

1133316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31512 (or 31491 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1133316000 is about 33664.7590218614. The cubic root of 1133316000 is about 1042.5982861977.

Adding to 1133316000 its reverse (6133311), we get a palindrome (1139449311).

The spelling of 1133316000 in words is "one billion, one hundred thirty-three million, three hundred sixteen thousand".