131131120 has 40 divisors (see below), whose sum is σ = 312323760. Its totient is φ = 51171840.

The previous prime is 131131097. The next prime is 131131129. The reversal of 131131120 is 21131131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131131120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16710 + ... + 23269.

It is an arithmetic number, because the mean of its divisors is an integer number (7808094).

Almost surely, 2^131131120 is an apocalyptic number.

131131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131131120 is an abundant number, since it is smaller than the sum of its proper divisors (181192640).

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

131131120 is a wasteful number, since it uses less digits than its factorization.

131131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40033 (or 40027 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 131131120 is about 11451.2497134592. The cubic root of 131131120 is about 508.0446981564.

Adding to 131131120 its reverse (21131131), we get a palindrome (152262251).

The spelling of 131131120 in words is "one hundred thirty-one million, one hundred thirty-one thousand, one hundred twenty".