10013123121013 has 2 divisors, whose sum is σ = 10013123121014. Its totient is φ = 10013123121012.

The previous prime is 10013123120983. The next prime is 10013123121019. The reversal of 10013123121013 is 31012132131001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8954350033924 + 1058773087089 = 2992382^2 + 1028967^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013123121013 - 2²¹ = 10013121023861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10013123121019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006561560506 + 5006561560507.

It is an arithmetic number, because the mean of its divisors is an integer number (5006561560507).

Almost surely, 2^{10013123121013} is an apocalyptic number.

It is an amenable number.

10013123121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013123121013 is an equidigital number, since it uses as much as digits as its factorization.

10013123121013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10013123121013 its reverse (31012132131001), we get a palindrome (41025255252014).

The spelling of 10013123121013 in words is "ten trillion, thirteen billion, one hundred twenty-three million, one hundred twenty-one thousand, thirteen".