11310103200000 has 864 divisors, whose sum is σ = 41277982040064. Its totient is φ = 2726272000000.

The previous prime is 11310103199981. The next prime is 11310103200001. The reversal of 11310103200000 is 230101311.

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

It is not an unprimeable number, because it can be changed into a prime (11310103200001) 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, 5042398879 + ... + 5042401121.

It is an arithmetic number, because the mean of its divisors is an integer number (47775442176).

Almost surely, 2^{11310103200000} is an apocalyptic number.

11310103200000 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 11310103200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638991020032).

11310103200000 is an abundant number, since it is smaller than the sum of its proper divisors (29967878840064).

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

11310103200000 is an equidigital number, since it uses as much as digits as its factorization.

11310103200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11310103200000 its reverse (230101311), we get a palindrome (11310333301311).

The spelling of 11310103200000 in words is "eleven trillion, three hundred ten billion, one hundred three million, two hundred thousand".