11313242200 has 384 divisors, whose sum is σ = 31638600000. Its totient is φ = 3723632640.

The previous prime is 11313242183. The next prime is 11313242203. The reversal of 11313242200 is 224231311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313242203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75927726 + ... + 75927874.

Almost surely, 2^11313242200 is an apocalyptic number.

11313242200 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 11313242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15819300000).

11313242200 is an abundant number, since it is smaller than the sum of its proper divisors (20325357800).

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

11313242200 is a wasteful number, since it uses less digits than its factorization.

11313242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11313242200 its reverse (224231311), we get a palindrome (11537473511).

The spelling of 11313242200 in words is "eleven billion, three hundred thirteen million, two hundred forty-two thousand, two hundred".