1011331111120 has 160 divisors (see below), whose sum is σ = 2723788166400. Its totient is φ = 345130475520.

The previous prime is 1011331111117. The next prime is 1011331111127. The reversal of 1011331111120 is 211111331101.

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 = 1011331111094 and 1011331111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011331111127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5124189 + ... + 5317891.

It is an arithmetic number, because the mean of its divisors is an integer number (17023676040).

Almost surely, 2^{1011331111120} is an apocalyptic number.

1011331111120 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 1011331111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361894083200).

1011331111120 is an abundant number, since it is smaller than the sum of its proper divisors (1712457055280).

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

1011331111120 is a wasteful number, since it uses less digits than its factorization.

1011331111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194093 (or 194087 counting only the distinct ones).

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

Adding to 1011331111120 its reverse (211111331101), we get a palindrome (1222442442221).

The spelling of 1011331111120 in words is "one trillion, eleven billion, three hundred thirty-one million, one hundred eleven thousand, one hundred twenty".