2013424001 has 2 divisors, whose sum is σ = 2013424002. Its totient is φ = 2013424000.

The previous prime is 2013423983. The next prime is 2013424003. The reversal of 2013424001 is 1004243102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1526074225 + 487349776 = 39065^2 + 22076^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013424001 - 2²² = 2009229697 is a prime.

Together with 2013424003, 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 (2013424003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006712000 + 1006712001.

It is an arithmetic number, because the mean of its divisors is an integer number (1006712001).

Almost surely, 2^2013424001 is an apocalyptic number.

It is an amenable number.

2013424001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013424001 is an equidigital number, since it uses as much as digits as its factorization.

2013424001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2013424001 is about 44871.1934430097. The cubic root of 2013424001 is about 1262.7336301417.

Adding to 2013424001 its reverse (1004243102), we get a palindrome (3017667103).

The spelling of 2013424001 in words is "two billion, thirteen million, four hundred twenty-four thousand, one".