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12431013013 is a prime number
BaseRepresentation
bin10111001001111001…
…00011010010010101
31012002100010220001101
423210330203102111
5200424314404023
65413303430101
7620023603306
oct134474432225
935070126041
1012431013013
1152a9a8a081
1224ab155331
131231544203
1485cd767ad
154cb50d1ad
hex2e4f23495

12431013013 has 2 divisors, whose sum is σ = 12431013014. Its totient is φ = 12431013012.

The previous prime is 12431013011. The next prime is 12431013029. The reversal of 12431013013 is 31031013421.

12431013013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11139113764 + 1291899249 = 105542^2 + 35943^2 .

It is a cyclic number.

It is not a de Polignac number, because 12431013013 - 21 = 12431013011 is a prime.

Together with 12431013011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12431013011) 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, 6215506506 + 6215506507.

It is an arithmetic number, because the mean of its divisors is an integer number (6215506507).

Almost surely, 212431013013 is an apocalyptic number.

It is an amenable number.

12431013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12431013013 is an equidigital number, since it uses as much as digits as its factorization.

12431013013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12431013013 its reverse (31031013421), we get a palindrome (43462026434).

The spelling of 12431013013 in words is "twelve billion, four hundred thirty-one million, thirteen thousand, thirteen".