131332512 has 96 divisors (see below), whose sum is σ = 359601984. Its totient is φ = 41932800.

The previous prime is 131332459. The next prime is 131332559. The reversal of 131332512 is 215233131.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239823 + ... + 240369.

It is an arithmetic number, because the mean of its divisors is an integer number (3745854).

Almost surely, 2^131332512 is an apocalyptic number.

131332512 is a gapful number since it is divisible by the number (12) 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 131332512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179800992).

131332512 is an abundant number, since it is smaller than the sum of its proper divisors (228269472).

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

131332512 is a wasteful number, since it uses less digits than its factorization.

131332512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 131332512 is about 11460.0397905068. The cubic root of 131332512 is about 508.3046512050.

Adding to 131332512 its reverse (215233131), we get a palindrome (346565643).

The spelling of 131332512 in words is "one hundred thirty-one million, three hundred thirty-two thousand, five hundred twelve".