11300310300000 has 288 divisors, whose sum is σ = 37599049006848. Its totient is φ = 2970968000000.

The previous prime is 11300310299983. The next prime is 11300310300001. The reversal of 11300310300000 is 301300311.

11300310300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300310300001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21034735 + ... + 21565265.

It is an arithmetic number, because the mean of its divisors is an integer number (130552253496).

Almost surely, 2^{11300310300000} is an apocalyptic number.

11300310300000 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 11300310300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18799524503424).

11300310300000 is an abundant number, since it is smaller than the sum of its proper divisors (26298738706848).

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

11300310300000 is an frugal number, since it uses more digits than its factorization.

11300310300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530640 (or 530612 counting only the distinct ones).

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

Adding to 11300310300000 its reverse (301300311), we get a palindrome (11300611600311).

The spelling of 11300310300000 in words is "eleven trillion, three hundred billion, three hundred ten million, three hundred thousand".