11331131332100 has 36 divisors (see below), whose sum is σ = 24588896196900. Its totient is φ = 4532389637760.

The previous prime is 11331131332093. The next prime is 11331131332139. The reversal of 11331131332100 is 123313113311.

It can be written as a sum of positive squares in 6 ways, for example, as 608375040256 + 10722756291844 = 779984^2 + 3274562^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6822566 + ... + 8319234.

Almost surely, 2^{11331131332100} is an apocalyptic number.

11331131332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331131332100 is an abundant number, since it is smaller than the sum of its proper divisors (13257764864800).

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

11331131332100 is a wasteful number, since it uses less digits than its factorization.

11331131332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572392 (or 1572385 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 11331131332100 its reverse (123313113311), we get a palindrome (11454444445411).

The spelling of 11331131332100 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred".