11323313312100 has 288 divisors, whose sum is σ = 33999410565120. Its totient is φ = 2908275701760.

The previous prime is 11323313312071. The next prime is 11323313312153. The reversal of 11323313312100 is 121331332311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163519084 + ... + 163588316.

Almost surely, 2^{11323313312100} is an apocalyptic number.

11323313312100 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 11323313312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16999705282560).

11323313312100 is an abundant number, since it is smaller than the sum of its proper divisors (22676097253020).

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

11323313312100 is a wasteful number, since it uses less digits than its factorization.

11323313312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69499 (or 69492 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11323313312100 its reverse (121331332311), we get a palindrome (11444644644411).

The spelling of 11323313312100 in words is "eleven trillion, three hundred twenty-three billion, three hundred thirteen million, three hundred twelve thousand, one hundred".