131143120 has 80 divisors (see below), whose sum is σ = 317211840. Its totient is φ = 50383872.

The previous prime is 131143093. The next prime is 131143123. The reversal of 131143120 is 21341131.

131143120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 131143094 and 131143103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131143123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230196 + ... + 230764.

It is an arithmetic number, because the mean of its divisors is an integer number (3965148).

Almost surely, 2^131143120 is an apocalyptic number.

131143120 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 131143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158605920).

131143120 is an abundant number, since it is smaller than the sum of its proper divisors (186068720).

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

131143120 is a wasteful number, since it uses less digits than its factorization.

131143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131143120 is about 11451.7736617521. The cubic root of 131143120 is about 508.0601949874.

Adding to 131143120 its reverse (21341131), we get a palindrome (152484251).

The spelling of 131143120 in words is "one hundred thirty-one million, one hundred forty-three thousand, one hundred twenty".