11000130333300 has 108 divisors (see below), whose sum is σ = 34479921188076. Its totient is φ = 2933315020800.

The previous prime is 11000130333259. The next prime is 11000130333307. The reversal of 11000130333300 is 333303100011.

11000130333300 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 1 + 30 + 333 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 459952527204 + 10540177806096 = 678198^2 + 3246564^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000130333307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98581540 + ... + 98693060.

Almost surely, 2^{11000130333300} is an apocalyptic number.

11000130333300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000130333300 is an abundant number, since it is smaller than the sum of its proper divisors (23479790854776).

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

11000130333300 is a wasteful number, since it uses less digits than its factorization.

11000130333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221138 (or 221128 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 11000130333300 its reverse (333303100011), we get a palindrome (11333433433311).

The spelling of 11000130333300 in words is "eleven trillion, one hundred thirty million, three hundred thirty-three thousand, three hundred".