20130413 has 2 divisors, whose sum is σ = 20130414. Its totient is φ = 20130412.

The previous prime is 20130403. The next prime is 20130449. The reversal of 20130413 is 31403102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20097289 + 33124 = 4483^2 + 182^2 .

It is a cyclic number.

It is not a de Polignac number, because 20130413 - 2⁶ = 20130349 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20130403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065206 + 10065207.

It is an arithmetic number, because the mean of its divisors is an integer number (10065207).

Almost surely, 2^20130413 is an apocalyptic number.

It is an amenable number.

20130413 is a deficient number, since it is larger than the sum of its proper divisors (1).

20130413 is an equidigital number, since it uses as much as digits as its factorization.

20130413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 20130413 is about 4486.6928800621. The cubic root of 20130413 is about 272.0304761483.

Adding to 20130413 its reverse (31403102), we get a palindrome (51533515).

The spelling of 20130413 in words is "twenty million, one hundred thirty thousand, four hundred thirteen".