131332320 has 384 divisors, whose sum is σ = 542868480. Its totient is φ = 29030400.

The previous prime is 131332319. The next prime is 131332339. The reversal of 131332320 is 23233131.

131332320 is a `hidden beast` number, since 1 + 313 + 32 + 320 = 666.

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 = 131332293 and 131332302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1300270 + ... + 1300370.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 2^131332320 is an apocalyptic number.

131332320 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 131332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271434240).

131332320 is an abundant number, since it is smaller than the sum of its proper divisors (411536160).

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

131332320 is a wasteful number, since it uses less digits than its factorization.

131332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131332320 is about 11460.0314135695. The cubic root of 131332320 is about 508.3044035016.

Adding to 131332320 its reverse (23233131), we get a palindrome (154565451).

It can be divided in two parts, 1313 and 32320, that added together give a palindrome (33633).

The spelling of 131332320 in words is "one hundred thirty-one million, three hundred thirty-two thousand, three hundred twenty".