431323013 has 12 divisors (see below), whose sum is σ = 478999500. Its totient is φ = 388058880.

The previous prime is 431323007. The next prime is 431323049. The reversal of 431323013 is 310323134.

It can be written as a sum of positive squares in 2 ways, for example, as 114554209 + 316768804 = 10703^2 + 17798^2 .

It is not a de Polignac number, because 431323013 - 2¹⁸ = 431060869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431323073) 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, 6638 + ... + 30111.

It is an arithmetic number, because the mean of its divisors is an integer number (39916625).

Almost surely, 2^431323013 is an apocalyptic number.

It is an amenable number.

431323013 is a deficient number, since it is larger than the sum of its proper divisors (47676487).

431323013 is a wasteful number, since it uses less digits than its factorization.

431323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36868 (or 36857 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 431323013 is about 20768.3175293523. The cubic root of 431323013 is about 755.5575391440.

Adding to 431323013 its reverse (310323134), we get a palindrome (741646147).

The spelling of 431323013 in words is "four hundred thirty-one million, three hundred twenty-three thousand, thirteen".