1014042114013 has 2 divisors, whose sum is σ = 1014042114014. Its totient is φ = 1014042114012.

The previous prime is 1014042113951. The next prime is 1014042114053. The reversal of 1014042114013 is 3104112404101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 663439572324 + 350602541689 = 814518^2 + 592117^2 .

It is an emirp because it is prime and its reverse (3104112404101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1014042114013 - 2⁹ = 1014042113501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1014042114053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 507021057006 + 507021057007.

It is an arithmetic number, because the mean of its divisors is an integer number (507021057007).

Almost surely, 2^{1014042114013} is an apocalyptic number.

It is an amenable number.

1014042114013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1014042114013 is an equidigital number, since it uses as much as digits as its factorization.

1014042114013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1014042114013 its reverse (3104112404101), we get a palindrome (4118154518114).

The spelling of 1014042114013 in words is "one trillion, fourteen billion, forty-two million, one hundred fourteen thousand, thirteen".