11313300000 has 288 divisors, whose sum is σ = 38025941184. Its totient is φ = 2943360000.

The previous prime is 11313299989. The next prime is 11313300133. The reversal of 11313300000 is 331311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12899562 + ... + 12900438.

It is an arithmetic number, because the mean of its divisors is an integer number (132034518).

Almost surely, 2^11313300000 is an apocalyptic number.

11313300000 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 11313300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19012970592).

11313300000 is an abundant number, since it is smaller than the sum of its proper divisors (26712641184).

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

11313300000 is an frugal number, since it uses more digits than its factorization.

11313300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 11313300000 its reverse (331311), we get a palindrome (11313631311).

The spelling of 11313300000 in words is "eleven billion, three hundred thirteen million, three hundred thousand".