131132120 has 64 divisors (see below), whose sum is σ = 338644800. Its totient is φ = 44766720.

The previous prime is 131132051. The next prime is 131132137. The reversal of 131132120 is 21231131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 131132095 and 131132104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74450 + ... + 76190.

It is an arithmetic number, because the mean of its divisors is an integer number (5291325).

Almost surely, 2^131132120 is an apocalyptic number.

131132120 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 131132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169322400).

131132120 is an abundant number, since it is smaller than the sum of its proper divisors (207512680).

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

131132120 is a wasteful number, since it uses less digits than its factorization.

131132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131132120 is about 11451.2933767326. The cubic root of 131132120 is about 508.0459895951.

Adding to 131132120 its reverse (21231131), we get a palindrome (152363251).

The spelling of 131132120 in words is "one hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty".