11312032322100 has 144 divisors (see below), whose sum is σ = 33643871307200. Its totient is φ = 2932410885120.

The previous prime is 11312032322093. The next prime is 11312032322111. The reversal of 11312032322100 is 122323021311.

It is a super-3 number, since 3×11312032322100³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 12080571 + ... + 12983229.

Almost surely, 2^{11312032322100} is an apocalyptic number.

11312032322100 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 11312032322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821935653600).

11312032322100 is an abundant number, since it is smaller than the sum of its proper divisors (22331838985100).

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

11312032322100 is a wasteful number, since it uses less digits than its factorization.

11312032322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903842 (or 903835 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11312032322100 its reverse (122323021311), we get a palindrome (11434355343411).

The spelling of 11312032322100 in words is "eleven trillion, three hundred twelve billion, thirty-two million, three hundred twenty-two thousand, one hundred".