11111131020 has 96 divisors (see below), whose sum is σ = 33975002880. Its totient is φ = 2690786560.

The previous prime is 11111131007. The next prime is 11111131027. The reversal of 11111131020 is 2013111111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11111130987 and 11111131005.

It is not an unprimeable number, because it can be changed into a prime (11111131027) 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, 660271 + ... + 676889.

It is an arithmetic number, because the mean of its divisors is an integer number (353906280).

Almost surely, 2^11111131020 is an apocalyptic number.

11111131020 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 11111131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16987501440).

11111131020 is an abundant number, since it is smaller than the sum of its proper divisors (22863871860).

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

11111131020 is a wasteful number, since it uses less digits than its factorization.

11111131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17655 (or 17653 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11111131020 its reverse (2013111111), we get a palindrome (13124242131).

The spelling of 11111131020 in words is "eleven billion, one hundred eleven million, one hundred thirty-one thousand, twenty".