11131123321120 has 144 divisors (see below), whose sum is σ = 28965642612480. Its totient is φ = 4039227568640.

The previous prime is 11131123321063. The next prime is 11131123321147. The reversal of 11131123321120 is 2112332113111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11131123321091 and 11131123321100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8673279 + ... + 9873601.

It is an arithmetic number, because the mean of its divisors is an integer number (201150295920).

Almost surely, 2^{11131123321120} is an apocalyptic number.

11131123321120 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 11131123321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14482821306240).

11131123321120 is an abundant number, since it is smaller than the sum of its proper divisors (17834519291360).

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

11131123321120 is a wasteful number, since it uses less digits than its factorization.

11131123321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200839 (or 1200820 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 11131123321120 its reverse (2112332113111), we get a palindrome (13243455434231).

It can be divided in two parts, 11 and 131123321120, that added together give a palindrome (131123321131).

The spelling of 11131123321120 in words is "eleven trillion, one hundred thirty-one billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty".