126400013 has 2 divisors, whose sum is σ = 126400014. Its totient is φ = 126400012.

The previous prime is 126399979. The next prime is 126400031. The reversal of 126400013 is 310004621.

Together with next prime (126400031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123365449 + 3034564 = 11107^2 + 1742^2 .

It is a cyclic number.

It is not a de Polignac number, because 126400013 - 2²⁶ = 59291149 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126399964 and 126400000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126400033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63200006 + 63200007.

It is an arithmetic number, because the mean of its divisors is an integer number (63200007).

Almost surely, 2^126400013 is an apocalyptic number.

It is an amenable number.

126400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

126400013 is an equidigital number, since it uses as much as digits as its factorization.

126400013 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.

The square root of 126400013 is about 11242.7760361932. The cubic root of 126400013 is about 501.8597580237.

Adding to 126400013 its reverse (310004621), we get a palindrome (436404634).

The spelling of 126400013 in words is "one hundred twenty-six million, four hundred thousand, thirteen".