131120 has 40 divisors (see below), whose sum is σ = 334800. Its totient is φ = 47360.

The previous prime is 131113. The next prime is 131129. The reversal of 131120 is 21131.

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 (8).

It is a junction number, because it is equal to n+sod(n) for n = 131098 and 131107.

It is not an unprimeable number, because it can be changed into a prime (131129) by changing a digit.

131120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 806 + ... + 954.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2¹³¹¹²⁰ is an apocalyptic number.

131120 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 131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400).

131120 is an abundant number, since it is smaller than the sum of its proper divisors (203680).

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

131120 is a wasteful number, since it uses less digits than its factorization.

131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 131120 is about 362.1049571602. The cubic root of 131120 is about 50.8030336916.

Adding to 131120 its reverse (21131), we get a palindrome (152251).

It can be divided in two parts, 1311 and 20, that added together give a palindrome (1331).

The spelling of 131120 in words is "one hundred thirty-one thousand, one hundred twenty".