2005310213 has 4 divisors (see below), whose sum is σ = 2005512960. Its totient is φ = 2005107468.

The previous prime is 2005310189. The next prime is 2005310233. The reversal of 2005310213 is 3120135002.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2005310213 - 2¹² = 2005306117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2005310191 and 2005310200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005310233) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85733 + ... + 106586.

It is an arithmetic number, because the mean of its divisors is an integer number (501378240).

Almost surely, 2^2005310213 is an apocalyptic number.

It is an amenable number.

2005310213 is a deficient number, since it is larger than the sum of its proper divisors (202747).

2005310213 is a wasteful number, since it uses less digits than its factorization.

2005310213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202746.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 2005310213 is about 44780.6901800318. The cubic root of 2005310213 is about 1261.0351393235.

Adding to 2005310213 its reverse (3120135002), we get a palindrome (5125445215).

The spelling of 2005310213 in words is "two billion, five million, three hundred ten thousand, two hundred thirteen".