1101111313120 has 192 divisors, whose sum is σ = 3276152732160. Its totient is φ = 340379117568.

The previous prime is 1101111313079. The next prime is 1101111313151. The reversal of 1101111313120 is 213131111011.

It is a super-2 number, since 2×1101111313120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1101111313094 and 1101111313103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253290 + ... + 1505449.

It is an arithmetic number, because the mean of its divisors is an integer number (17063295480).

Almost surely, 2^{1101111313120} is an apocalyptic number.

1101111313120 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 1101111313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638076366080).

1101111313120 is an abundant number, since it is smaller than the sum of its proper divisors (2175041419040).

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

1101111313120 is a wasteful number, since it uses less digits than its factorization.

1101111313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758817 (or 1758809 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 1101111313120 its reverse (213131111011), we get a palindrome (1314242424131).

The spelling of 1101111313120 in words is "one trillion, one hundred one billion, one hundred eleven million, three hundred thirteen thousand, one hundred twenty".