20131313 has 2 divisors, whose sum is σ = 20131314. Its totient is φ = 20131312.

The previous prime is 20131303. The next prime is 20131339. The reversal of 20131313 is 31313102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12475024 + 7656289 = 3532^2 + 2767^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131313 - 2⁴ = 20131297 is a prime.

It is not a weakly prime, because it can be changed into another prime (20131303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065656 + 10065657.

It is an arithmetic number, because the mean of its divisors is an integer number (10065657).

Almost surely, 2^20131313 is an apocalyptic number.

It is an amenable number.

20131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131313 is an equidigital number, since it uses as much as digits as its factorization.

20131313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 20131313 is about 4486.7931755319. The cubic root of 20131313 is about 272.0345301102.

Adding to 20131313 its reverse (31313102), we get a palindrome (51444415).

The spelling of 20131313 in words is "twenty million, one hundred thirty-one thousand, three hundred thirteen".