13013813 has 2 divisors, whose sum is σ = 13013814. Its totient is φ = 13013812.

The previous prime is 13013773. The next prime is 13013827. The reversal of 13013813 is 31831031.

It is a happy number.

13013813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13010449 + 3364 = 3607^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013813 - 2¹⁶ = 12948277 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13013863) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506906 + 6506907.

It is an arithmetic number, because the mean of its divisors is an integer number (6506907).

Almost surely, 2^13013813 is an apocalyptic number.

It is an amenable number.

13013813 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013813 is an equidigital number, since it uses as much as digits as its factorization.

13013813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 13013813 is about 3607.4662853587. The cubic root of 13013813 is about 235.2167187450.

Adding to 13013813 its reverse (31831031), we get a palindrome (44844844).

The spelling of 13013813 in words is "thirteen million, thirteen thousand, eight hundred thirteen".