11310112213120 has 128 divisors (see below), whose sum is σ = 30908951015040. Its totient is φ = 3876735197184.

The previous prime is 11310112213117. The next prime is 11310112213121. The reversal of 11310112213120 is 2131221101311.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11310112213121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16842519 + ... + 17501161.

It is an arithmetic number, because the mean of its divisors is an integer number (241476179805).

Almost surely, 2^{11310112213120} is an apocalyptic number.

11310112213120 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 11310112213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15454475507520).

11310112213120 is an abundant number, since it is smaller than the sum of its proper divisors (19598838801920).

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

11310112213120 is an equidigital number, since it uses as much as digits as its factorization.

11310112213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662502 (or 662490 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 11310112213120 its reverse (2131221101311), we get a palindrome (13441333314431).

The spelling of 11310112213120 in words is "eleven trillion, three hundred ten billion, one hundred twelve million, two hundred thirteen thousand, one hundred twenty".