13305004313 has 12 divisors (see below), whose sum is σ = 13470722460. Its totient is φ = 13141180416.

The previous prime is 13305004267. The next prime is 13305004351. The reversal of 13305004313 is 31340050331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10130019904 + 3174984409 = 100648^2 + 56347^2 .

It is not a de Polignac number, because 13305004313 - 2²⁶ = 13237895449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13305006313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3995033 + ... + 3998361.

It is an arithmetic number, because the mean of its divisors is an integer number (1122560205).

Almost surely, 2^13305004313 is an apocalyptic number.

It is an amenable number.

13305004313 is a deficient number, since it is larger than the sum of its proper divisors (165718147).

13305004313 is an equidigital number, since it uses as much as digits as its factorization.

13305004313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 13305004313 its reverse (31340050331), we get a palindrome (44645054644).

The spelling of 13305004313 in words is "thirteen billion, three hundred five million, four thousand, three hundred thirteen".