431034000213 has 16 divisors (see below), whose sum is σ = 608534320320. Its totient is φ = 270445714176.

The previous prime is 431034000203. The next prime is 431034000217. The reversal of 431034000213 is 312000430134.

It is not a de Polignac number, because 431034000213 - 2¹² = 431033996117 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 431034000213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431034000217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2477443 + ... + 2645711.

It is an arithmetic number, because the mean of its divisors is an integer number (38033395020).

Almost surely, 2^431034000213 is an apocalyptic number.

It is an amenable number.

431034000213 is a deficient number, since it is larger than the sum of its proper divisors (177500320107).

431034000213 is a wasteful number, since it uses less digits than its factorization.

431034000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218516.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 431034000213 its reverse (312000430134), we get a palindrome (743034430347).

The spelling of 431034000213 in words is "four hundred thirty-one billion, thirty-four million, two hundred thirteen", and thus it is an aban number.