1013142412013 has 2 divisors, whose sum is σ = 1013142412014. Its totient is φ = 1013142412012.

The previous prime is 1013142411949. The next prime is 1013142412019. The reversal of 1013142412013 is 3102142413101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 973265117764 + 39877294249 = 986542^2 + 199693^2 .

It is an emirp because it is prime and its reverse (3102142413101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013142412013 - 2⁶ = 1013142411949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1013142412013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013142412019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506571206006 + 506571206007.

It is an arithmetic number, because the mean of its divisors is an integer number (506571206007).

Almost surely, 2^{1013142412013} is an apocalyptic number.

It is an amenable number.

1013142412013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013142412013 is an equidigital number, since it uses as much as digits as its factorization.

1013142412013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1013142412013 its reverse (3102142413101), we get a palindrome (4115284825114).

The spelling of 1013142412013 in words is "one trillion, thirteen billion, one hundred forty-two million, four hundred twelve thousand, thirteen".