431213013 has 24 divisors (see below), whose sum is σ = 776558016. Its totient is φ = 224006400.

The previous prime is 431212997. The next prime is 431213021. The reversal of 431213013 is 310312134.

It is not a de Polignac number, because 431213013 - 2⁴ = 431212997 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 (431213213) 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 23 ways as a sum of consecutive naturals, for example, 310428 + ... + 311813.

It is an arithmetic number, because the mean of its divisors is an integer number (32356584).

Almost surely, 2^431213013 is an apocalyptic number.

It is an amenable number.

431213013 is a deficient number, since it is larger than the sum of its proper divisors (345345003).

431213013 is a wasteful number, since it uses less digits than its factorization.

431213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622265 (or 622262 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 431213013 is about 20765.6690958900. The cubic root of 431213013 is about 755.4933039165.

Adding to 431213013 its reverse (310312134), we get a palindrome (741525147).

It can be divided in two parts, 431 and 213013, that added together give a square (213444 = 462²).

The spelling of 431213013 in words is "four hundred thirty-one million, two hundred thirteen thousand, thirteen".