14040042100013 has 2 divisors, whose sum is σ = 14040042100014. Its totient is φ = 14040042100012.

The previous prime is 14040042099973. The next prime is 14040042100031. The reversal of 14040042100013 is 31000124004041.

Together with next prime (14040042100031) 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., 9729427355209 + 4310614744804 = 3119203^2 + 2076202^2 .

It is a cyclic number.

It is not a de Polignac number, because 14040042100013 - 2⁶ = 14040042099949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14040042100043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7020021050006 + 7020021050007.

It is an arithmetic number, because the mean of its divisors is an integer number (7020021050007).

Almost surely, 2^{14040042100013} is an apocalyptic number.

It is an amenable number.

14040042100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

14040042100013 is an equidigital number, since it uses as much as digits as its factorization.

14040042100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14040042100013 its reverse (31000124004041), we get a palindrome (45040166104054).

The spelling of 14040042100013 in words is "fourteen trillion, forty billion, forty-two million, one hundred thousand, thirteen".