1133331100 has 72 divisors (see below), whose sum is σ = 2709732816. Its totient is φ = 408040000.

The previous prime is 1133331047. The next prime is 1133331103. The reversal of 1133331100 is 11333311.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133331103) 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, 11221050 + ... + 11221150.

It is an arithmetic number, because the mean of its divisors is an integer number (37635178).

Almost surely, 2^1133331100 is an apocalyptic number.

1133331100 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 1133331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354866408).

1133331100 is an abundant number, since it is smaller than the sum of its proper divisors (1576401716).

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

1133331100 is an equidigital number, since it uses as much as digits as its factorization.

1133331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1133331100 is about 33664.9832912479. The cubic root of 1133331100 is about 1042.6029166109.

Adding to 1133331100 its reverse (11333311), we get a palindrome (1144664411).

1133331100 divided by its reverse (11333311) gives a square (100 = 10²).

It can be divided in two parts, 1133 and 331100, that added together give a palindrome (332233).

The spelling of 1133331100 in words is "one billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred".