2013013001 has 2 divisors, whose sum is σ = 2013013002. Its totient is φ = 2013013000.

The previous prime is 2013012977. The next prime is 2013013003. The reversal of 2013013001 is 1003103102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2009190976 + 3822025 = 44824^2 + 1955^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013013001 - 2¹⁰ = 2013011977 is a prime.

Together with 2013013003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2013013003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006506500 + 1006506501.

It is an arithmetic number, because the mean of its divisors is an integer number (1006506501).

Almost surely, 2^2013013001 is an apocalyptic number.

It is an amenable number.

2013013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013013001 is an equidigital number, since it uses as much as digits as its factorization.

2013013001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2013013001 is about 44866.6134335989. The cubic root of 2013013001 is about 1262.6477037398.

Adding to 2013013001 its reverse (1003103102), we get a palindrome (3016116103).

The spelling of 2013013001 in words is "two billion, thirteen million, thirteen thousand, one".