131330052 has 192 divisors, whose sum is σ = 421478400. Its totient is φ = 34525440.

The previous prime is 131330021. The next prime is 131330053. The reversal of 131330052 is 250033131.

131330052 is a `hidden beast` number, since 1 + 313 + 300 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131330053) 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 63 ways as a sum of consecutive naturals, for example, 588813 + ... + 589035.

It is an arithmetic number, because the mean of its divisors is an integer number (2195200).

Almost surely, 2^131330052 is an apocalyptic number.

131330052 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 131330052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210739200).

131330052 is an abundant number, since it is smaller than the sum of its proper divisors (290148348).

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

131330052 is a wasteful number, since it uses less digits than its factorization.

131330052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 131330052 is about 11459.9324605340. The cubic root of 131330052 is about 508.3014774865.

Adding to 131330052 its reverse (250033131), we get a palindrome (381363183).

The spelling of 131330052 in words is "one hundred thirty-one million, three hundred thirty thousand, fifty-two".