131008500 has 144 divisors (see below), whose sum is σ = 472442880. Its totient is φ = 29937600.

The previous prime is 131008459. The next prime is 131008513. The reversal of 131008500 is 5800131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29421 + ... + 33579.

Almost surely, 2^131008500 is an apocalyptic number.

131008500 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 131008500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236221440).

131008500 is an abundant number, since it is smaller than the sum of its proper divisors (341434380).

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

131008500 is a wasteful number, since it uses less digits than its factorization.

131008500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131008500 is about 11445.8944604605. The cubic root of 131008500 is about 507.8862921561.

Adding to 131008500 its reverse (5800131), we get a palindrome (136808631).

The spelling of 131008500 in words is "one hundred thirty-one million, eight thousand, five hundred".