131444313 has 96 divisors (see below), whose sum is σ = 247443840. Its totient is φ = 61326720.

The previous prime is 131444297. The next prime is 131444321. The reversal of 131444313 is 313444131.

It is not a de Polignac number, because 131444313 - 2⁴ = 131444297 is a prime.

It is a super-3 number, since 3×131444313³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131444363) 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 95 ways as a sum of consecutive naturals, for example, 3552531 + ... + 3552567.

It is an arithmetic number, because the mean of its divisors is an integer number (2577540).

Almost surely, 2^131444313 is an apocalyptic number.

131444313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131444313 is a deficient number, since it is larger than the sum of its proper divisors (115999527).

131444313 is a wasteful number, since it uses less digits than its factorization.

131444313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 131444313 is about 11464.9166154840. The cubic root of 131444313 is about 508.4488471578.

Adding to 131444313 its reverse (313444131), we get a palindrome (444888444).

It can be divided in two parts, 131 and 444313, that added together give a palindrome (444444).

The spelling of 131444313 in words is "one hundred thirty-one million, four hundred forty-four thousand, three hundred thirteen".