2013123310001 has 2 divisors, whose sum is σ = 2013123310002. Its totient is φ = 2013123310000.

The previous prime is 2013123309991. The next prime is 2013123310021. The reversal of 2013123310001 is 1000133213102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1808863603600 + 204259706401 = 1344940^2 + 451951^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013123310001 is a prime.

It is a super-2 number, since 2×2013123310001² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2013123310021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006561655000 + 1006561655001.

It is an arithmetic number, because the mean of its divisors is an integer number (1006561655001).

Almost surely, 2^{2013123310001} is an apocalyptic number.

It is an amenable number.

2013123310001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013123310001 is an equidigital number, since it uses as much as digits as its factorization.

2013123310001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2013123310001 its reverse (1000133213102), we get a palindrome (3013256523103).

The spelling of 2013123310001 in words is "two trillion, thirteen billion, one hundred twenty-three million, three hundred ten thousand, one".