11133312300100 has 72 divisors (see below), whose sum is σ = 24523162965728. Its totient is φ = 4386268972800.

The previous prime is 11133312300083. The next prime is 11133312300113. The reversal of 11133312300100 is 100321333111.

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 23 ways as a sum of consecutive naturals, for example, 51636520 + ... + 51851680.

Almost surely, 2^{11133312300100} is an apocalyptic number.

11133312300100 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 11133312300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12261581482864).

11133312300100 is an abundant number, since it is smaller than the sum of its proper divisors (13389850665628).

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

11133312300100 is a wasteful number, since it uses less digits than its factorization.

11133312300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222965 (or 222958 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11133312300100 its reverse (100321333111), we get a palindrome (11233633633211).

The spelling of 11133312300100 in words is "eleven trillion, one hundred thirty-three billion, three hundred twelve million, three hundred thousand, one hundred".