1011110331120 has 40 divisors (see below), whose sum is σ = 3134442027216. Its totient is φ = 269629421568.

The previous prime is 1011110331061. The next prime is 1011110331167. The reversal of 1011110331120 is 211330111101.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1011110331120.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2106479617 + ... + 2106480096.

Almost surely, 2^{1011110331120} is an apocalyptic number.

1011110331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011110331120 is an abundant number, since it is smaller than the sum of its proper divisors (2123331696096).

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

1011110331120 is a wasteful number, since it uses less digits than its factorization.

1011110331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212959729 (or 4212959723 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1011110331120 its reverse (211330111101), we get a palindrome (1222440442221).

The spelling of 1011110331120 in words is "one trillion, eleven billion, one hundred ten million, three hundred thirty-one thousand, one hundred twenty".