320144013 has 24 divisors (see below), whose sum is σ = 532666368. Its totient is φ = 181494432.

The previous prime is 320143991. The next prime is 320144039. The reversal of 320144013 is 310441023.

It is not a de Polignac number, because 320144013 - 2⁹ = 320143501 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320144063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12006 + ... + 28007.

It is an arithmetic number, because the mean of its divisors is an integer number (22194432).

Almost surely, 2^320144013 is an apocalyptic number.

It is an amenable number.

320144013 is a deficient number, since it is larger than the sum of its proper divisors (212522355).

320144013 is a wasteful number, since it uses less digits than its factorization.

320144013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40153 (or 40150 counting only the distinct ones).

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

The square root of 320144013 is about 17892.5686529352. The cubic root of 320144013 is about 684.0929711011.

Adding to 320144013 its reverse (310441023), we get a palindrome (630585036).

The spelling of 320144013 in words is "three hundred twenty million, one hundred forty-four thousand, thirteen".