131003312 has 60 divisors (see below), whose sum is σ = 281419488. Its totient is φ = 59030400.

The previous prime is 131003311. The next prime is 131003321. The reversal of 131003312 is 213300131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303737 + ... + 304167.

Almost surely, 2^131003312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140709744).

131003312 is an abundant number, since it is smaller than the sum of its proper divisors (150416176).

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

131003312 is a wasteful number, since it uses less digits than its factorization.

131003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 131003312 is about 11445.6678267369. The cubic root of 131003312 is about 507.8795878867.

Adding to 131003312 its reverse (213300131), we get a palindrome (344303443).

The spelling of 131003312 in words is "one hundred thirty-one million, three thousand, three hundred twelve".