2205323313513 has 16 divisors (see below), whose sum is σ = 2959287296256. Its totient is φ = 1460788243200.

The previous prime is 2205323313497. The next prime is 2205323313517. The reversal of 2205323313513 is 3153133235022.

It is a happy number.

It is not a de Polignac number, because 2205323313513 - 2⁴ = 2205323313497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2205323313517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12535920 + ... + 12710622.

It is an arithmetic number, because the mean of its divisors is an integer number (184955456016).

Almost surely, 2^{2205323313513} is an apocalyptic number.

It is an amenable number.

2205323313513 is a deficient number, since it is larger than the sum of its proper divisors (753963982743).

2205323313513 is a wasteful number, since it uses less digits than its factorization.

2205323313513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201664.

The product of its (nonzero) digits is 48600, while the sum is 33.

Adding to 2205323313513 its reverse (3153133235022), we get a palindrome (5358456548535).

The spelling of 2205323313513 in words is "two trillion, two hundred five billion, three hundred twenty-three million, three hundred thirteen thousand, five hundred thirteen".