11314042100 has 288 divisors, whose sum is σ = 28104867840. Its totient is φ = 3934656000.

The previous prime is 11314042099. The next prime is 11314042109. The reversal of 11314042100 is 124041311.

It is a happy number.

11314042100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314042109) by changing a digit.

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, 168866267 + ... + 168866333.

Almost surely, 2^11314042100 is an apocalyptic number.

11314042100 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 11314042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14052433920).

11314042100 is an abundant number, since it is smaller than the sum of its proper divisors (16790825740).

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

11314042100 is a wasteful number, since it uses less digits than its factorization.

11314042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11314042100 its reverse (124041311), we get a palindrome (11438083411).

The spelling of 11314042100 in words is "eleven billion, three hundred fourteen million, forty-two thousand, one hundred".