2123023002013 has 2 divisors, whose sum is σ = 2123023002014. Its totient is φ = 2123023002012.

The previous prime is 2123023002011. The next prime is 2123023002049. The reversal of 2123023002013 is 3102003203212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1270349901604 + 852673100409 = 1127098^2 + 923403^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123023002013 - 2¹ = 2123023002011 is a prime.

Together with 2123023002011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2123023002011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061511501006 + 1061511501007.

It is an arithmetic number, because the mean of its divisors is an integer number (1061511501007).

Almost surely, 2^{2123023002013} is an apocalyptic number.

It is an amenable number.

2123023002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123023002013 is an equidigital number, since it uses as much as digits as its factorization.

2123023002013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2123023002013 its reverse (3102003203212), we get a palindrome (5225026205225).

The spelling of 2123023002013 in words is "two trillion, one hundred twenty-three billion, twenty-three million, two thousand, thirteen".