131008320 has 224 divisors, whose sum is σ = 471830400. Its totient is φ = 34209792.

The previous prime is 131008313. The next prime is 131008321. The reversal of 131008320 is 23800131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131008293 and 131008302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131008321) 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 31 ways as a sum of consecutive naturals, for example, 509632 + ... + 509888.

Almost surely, 2^131008320 is an apocalyptic number.

131008320 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 131008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235915200).

131008320 is an abundant number, since it is smaller than the sum of its proper divisors (340822080).

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

131008320 is a wasteful number, since it uses less digits than its factorization.

131008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131008320 is about 11445.8865973764. The cubic root of 131008320 is about 507.8860595515.

Adding to 131008320 its reverse (23800131), we get a palindrome (154808451).

It can be divided in two parts, 131008 and 320, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 131008320 in words is "one hundred thirty-one million, eight thousand, three hundred twenty".