131130120 has 128 divisors (see below), whose sum is σ = 433226880. Its totient is φ = 31750400.

The previous prime is 131130101. The next prime is 131130121. The reversal of 131130120 is 21031131.

It is a super-4 number, since 4×131130120⁴ (a number of 34 digits) contains 4444 as substring.

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 = 131130096 and 131130105.

It is not an unprimeable number, because it can be changed into a prime (131130121) 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, 159310 + ... + 160130.

It is an arithmetic number, because the mean of its divisors is an integer number (3384585).

Almost surely, 2^131130120 is an apocalyptic number.

131130120 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 131130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216613440).

131130120 is an abundant number, since it is smaller than the sum of its proper divisors (302096760).

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

131130120 is a wasteful number, since it uses less digits than its factorization.

131130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131130120 is about 11451.2060500194. The cubic root of 131130120 is about 508.0434067111.

Adding to 131130120 its reverse (21031131), we get a palindrome (152161251).

The spelling of 131130120 in words is "one hundred thirty-one million, one hundred thirty thousand, one hundred twenty".