11301103140000 has 240 divisors, whose sum is σ = 38071774607328. Its totient is φ = 2932177536000.

The previous prime is 11301103139951. The next prime is 11301103140001. The reversal of 11301103140000 is 4130110311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11301103140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 325294 + ... + 4765293.

Almost surely, 2^{11301103140000} is an apocalyptic number.

11301103140000 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 11301103140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19035887303664).

11301103140000 is an abundant number, since it is smaller than the sum of its proper divisors (26770671467328).

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

11301103140000 is an equidigital number, since it uses as much as digits as its factorization.

11301103140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090657 (or 5090634 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11301103140000 its reverse (4130110311), we get a palindrome (11305233250311).

It can be divided in two parts, 11301 and 103140000, that added together give a palindrome (103151301).

The spelling of 11301103140000 in words is "eleven trillion, three hundred one billion, one hundred three million, one hundred forty thousand".