131111120 has 80 divisors (see below), whose sum is σ = 350120448. Its totient is φ = 44728320.

The previous prime is 131111119. The next prime is 131111129. The reversal of 131111120 is 21111131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131111129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143465 + ... + 144375.

Almost surely, 2^131111120 is an apocalyptic number.

131111120 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 131111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175060224).

131111120 is an abundant number, since it is smaller than the sum of its proper divisors (219009328).

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

131111120 is a wasteful number, since it uses less digits than its factorization.

131111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 131111120 is about 11450.3764130268. The cubic root of 131111120 is about 508.0188680036.

Adding to 131111120 its sum of digits (11), we get a palindrome (131111131).

Adding to 131111120 its reverse (21111131), we get a palindrome (152222251).

It can be divided in two parts, 1311111 and 20, that added together give a palindrome (1311131).

The spelling of 131111120 in words is "one hundred thirty-one million, one hundred eleven thousand, one hundred twenty".