11132214314100 has 144 divisors (see below), whose sum is σ = 35142733846080. Its totient is φ = 2698302540800.

The previous prime is 11132214314009. The next prime is 11132214314171. The reversal of 11132214314100 is 141341223111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21420934 + ... + 21934466.

It is an arithmetic number, because the mean of its divisors is an integer number (244046762820).

Almost surely, 2^{11132214314100} is an apocalyptic number.

11132214314100 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 11132214314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17571366923040).

11132214314100 is an abundant number, since it is smaller than the sum of its proper divisors (24010519531980).

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

11132214314100 is a wasteful number, since it uses less digits than its factorization.

11132214314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520130 (or 520123 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11132214314100 its reverse (141341223111), we get a palindrome (11273555537211).

The spelling of 11132214314100 in words is "eleven trillion, one hundred thirty-two billion, two hundred fourteen million, three hundred fourteen thousand, one hundred".