2012123110013 has 2 divisors, whose sum is σ = 2012123110014. Its totient is φ = 2012123110012.

The previous prime is 2012123109979. The next prime is 2012123110033. The reversal of 2012123110013 is 3100113212102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1561005357604 + 451117752409 = 1249402^2 + 671653^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012123110013 - 2³⁸ = 1737245203069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2012123109973 and 2012123110000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012123110033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006061555006 + 1006061555007.

It is an arithmetic number, because the mean of its divisors is an integer number (1006061555007).

Almost surely, 2^{2012123110013} is an apocalyptic number.

It is an amenable number.

2012123110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012123110013 is an equidigital number, since it uses as much as digits as its factorization.

2012123110013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2012123110013 its reverse (3100113212102), we get a palindrome (5112236322115).

The spelling of 2012123110013 in words is "two trillion, twelve billion, one hundred twenty-three million, one hundred ten thousand, thirteen".