1305022313 has 16 divisors (see below), whose sum is σ = 1509045120. Its totient is φ = 1105440000.

The previous prime is 1305022297. The next prime is 1305022337. The reversal of 1305022313 is 3132205031.

It is not a de Polignac number, because 1305022313 - 2⁴ = 1305022297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1305022343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464513 + ... + 467313.

It is an arithmetic number, because the mean of its divisors is an integer number (94315320).

Almost surely, 2^1305022313 is an apocalyptic number.

It is an amenable number.

1305022313 is a deficient number, since it is larger than the sum of its proper divisors (204022807).

1305022313 is a wasteful number, since it uses less digits than its factorization.

1305022313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1305022313 is about 36125.0925673555. The cubic root of 1305022313 is about 1092.7965428269.

Adding to 1305022313 its reverse (3132205031), we get a palindrome (4437227344).

The spelling of 1305022313 in words is "one billion, three hundred five million, twenty-two thousand, three hundred thirteen".