320242131 has 48 divisors (see below), whose sum is σ = 540084480. Its totient is φ = 180792000.

The previous prime is 320242129. The next prime is 320242177. The reversal of 320242131 is 131242023.

It is not a de Polignac number, because 320242131 - 2¹ = 320242129 is a prime.

It is a super-2 number, since 2×320242131² = 205110044934842322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320242031) 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 47 ways as a sum of consecutive naturals, for example, 113346 + ... + 116136.

It is an arithmetic number, because the mean of its divisors is an integer number (11251760).

Almost surely, 2^320242131 is an apocalyptic number.

320242131 is a deficient number, since it is larger than the sum of its proper divisors (219842349).

320242131 is a wasteful number, since it uses less digits than its factorization.

320242131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 320242131 is about 17895.3103074521. The cubic root of 320242131 is about 684.1628510878.

Adding to 320242131 its reverse (131242023), we get a palindrome (451484154).

The spelling of 320242131 in words is "three hundred twenty million, two hundred forty-two thousand, one hundred thirty-one".