1101133300 has 72 divisors (see below), whose sum is σ = 2445452856. Its totient is φ = 430210560.

The previous prime is 1101133279. The next prime is 1101133309. The reversal of 1101133300 is 33311011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 393466896 + 707666404 = 19836^2 + 26602^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101133309) 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, 1976622 + ... + 1977178.

It is an arithmetic number, because the mean of its divisors is an integer number (33964623).

Almost surely, 2^1101133300 is an apocalyptic number.

1101133300 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 1101133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222726428).

1101133300 is an abundant number, since it is smaller than the sum of its proper divisors (1344319556).

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

1101133300 is a wasteful number, since it uses less digits than its factorization.

1101133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 990 counting only the distinct ones).

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

The square root of 1101133300 is about 33183.3286455714. The cubic root of 1101133300 is about 1032.6345037953.

Adding to 1101133300 its reverse (33311011), we get a palindrome (1134444311).

The spelling of 1101133300 in words is "one billion, one hundred one million, one hundred thirty-three thousand, three hundred".