431401000013 has 2 divisors, whose sum is σ = 431401000014. Its totient is φ = 431401000012.

The previous prime is 431400999971. The next prime is 431401000073. The reversal of 431401000013 is 310000104134.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 299600780164 + 131800219849 = 547358^2 + 363043^2 .

It is a cyclic number.

It is not a de Polignac number, because 431401000013 - 2⁶ = 431400999949 is a prime.

It is a super-2 number, since 2×431401000013² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431400999955 and 431401000000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (431401000073) 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 as a sum of consecutive naturals, namely, 215700500006 + 215700500007.

It is an arithmetic number, because the mean of its divisors is an integer number (215700500007).

Almost surely, 2^431401000013 is an apocalyptic number.

It is an amenable number.

431401000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

431401000013 is an equidigital number, since it uses as much as digits as its factorization.

431401000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 431401000013 its reverse (310000104134), we get a palindrome (741401104147).

The spelling of 431401000013 in words is "four hundred thirty-one billion, four hundred one million, thirteen", and thus it is an aban number.