431202312313 has 8 divisors (see below), whose sum is σ = 444579615432. Its totient is φ = 417915703296.

The previous prime is 431202312259. The next prime is 431202312319. The reversal of 431202312313 is 313213202134.

It can be written as a sum of positive squares in 4 ways, for example, as 409226325264 + 21975987049 = 639708^2 + 148243^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 431202312313 - 2¹³ = 431202304121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431202312319) 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 7 ways as a sum of consecutive naturals, for example, 22663870 + ... + 22682887.

It is an arithmetic number, because the mean of its divisors is an integer number (55572451929).

Almost surely, 2^431202312313 is an apocalyptic number.

It is an amenable number.

431202312313 is a deficient number, since it is larger than the sum of its proper divisors (13377303119).

431202312313 is a wasteful number, since it uses less digits than its factorization.

431202312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45347051.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 431202312313 its reverse (313213202134), we get a palindrome (744415514447).

The spelling of 431202312313 in words is "four hundred thirty-one billion, two hundred two million, three hundred twelve thousand, three hundred thirteen".