2013313 has 2 divisors, whose sum is σ = 2013314. Its totient is φ = 2013312.

The previous prime is 2013307. The next prime is 2013329. The reversal of 2013313 is 3133102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1181569 + 831744 = 1087^2 + 912^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013313 - 2¹³ = 2005121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013293 and 2013302.

It is not a weakly prime, because it can be changed into another prime (2013343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006656 + 1006657.

It is an arithmetic number, because the mean of its divisors is an integer number (1006657).

2^2013313 is an apocalyptic number.

It is an amenable number.

2013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013313 is an equidigital number, since it uses as much as digits as its factorization.

2013313 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 13.

The square root of 2013313 is about 1418.9126118264. The cubic root of 2013313 is about 126.2710424685.

Adding to 2013313 its reverse (3133102), we get a palindrome (5146415).

The spelling of 2013313 in words is "two million, thirteen thousand, three hundred thirteen".