20130001 has 2 divisors, whose sum is σ = 20130002. Its totient is φ = 20130000.

The previous prime is 20129999. The next prime is 20130029. The reversal of 20130001 is 10003102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19793601 + 336400 = 4449^2 + 580^2 .

It is a cyclic number.

It is not a de Polignac number, because 20130001 - 2¹ = 20129999 is a prime.

Together with 20129999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20137001) 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, 10065000 + 10065001.

It is an arithmetic number, because the mean of its divisors is an integer number (10065001).

Almost surely, 2^20130001 is an apocalyptic number.

It is an amenable number.

20130001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20130001 is an equidigital number, since it uses as much as digits as its factorization.

20130001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 20130001 is about 4486.6469662767. The cubic root of 20130001 is about 272.0286202944.

Adding to 20130001 its reverse (10003102), we get a palindrome (30133103).

The spelling of 20130001 in words is "twenty million, one hundred thirty thousand, one".