131300352 has 110 divisors (see below), whose sum is σ = 392336208. Its totient is φ = 43739136.

The previous prime is 131300329. The next prime is 131300357. The reversal of 131300352 is 253003131.

131300352 is a `hidden beast` number, since 1 + 313 + 0 + 0 + 352 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131300357) 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 9 ways as a sum of consecutive naturals, for example, 82153 + ... + 83735.

Almost surely, 2^131300352 is an apocalyptic number.

131300352 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 131300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196168104).

131300352 is an abundant number, since it is smaller than the sum of its proper divisors (261035856).

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

131300352 is an equidigital number, since it uses as much as digits as its factorization.

131300352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1588 counting only the distinct ones).

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

The square root of 131300352 is about 11458.6365681088. The cubic root of 131300352 is about 508.2631575138.

Adding to 131300352 its reverse (253003131), we get a palindrome (384303483).

The spelling of 131300352 in words is "one hundred thirty-one million, three hundred thousand, three hundred fifty-two".