431420013 has 28 divisors (see below), whose sum is σ = 653609628. Its totient is φ = 284601600.

The previous prime is 431419991. The next prime is 431420051. The reversal of 431420013 is 310024134.

It can be written as a sum of positive squares in 2 ways, for example, as 233539524 + 197880489 = 15282^2 + 14067^2 .

It is not a de Polignac number, because 431420013 - 2⁶ = 431419949 is a prime.

It is a super-2 number, since 2×431420013² = 372246455233840338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431420063) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 67663 + ... + 73763.

It is an arithmetic number, because the mean of its divisors is an integer number (23343201).

Almost surely, 2^431420013 is an apocalyptic number.

It is an amenable number.

431420013 is a deficient number, since it is larger than the sum of its proper divisors (222189615).

431420013 is an frugal number, since it uses more digits than its factorization.

431420013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216 (or 6201 counting only the distinct ones).

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

The square root of 431420013 is about 20770.6526859413. The cubic root of 431420013 is about 755.6141738747.

Adding to 431420013 its reverse (310024134), we get a palindrome (741444147).

The spelling of 431420013 in words is "four hundred thirty-one million, four hundred twenty thousand, thirteen".