1305323133313 has 16 divisors (see below), whose sum is σ = 1340625771072. Its totient is φ = 1270188864000.

The previous prime is 1305323133299. The next prime is 1305323133383. The reversal of 1305323133313 is 3133313235031.

It is a cyclic number.

It is not a de Polignac number, because 1305323133313 - 2²¹ = 1305321036161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1305323133383) 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, 32809353 + ... + 32849113.

It is an arithmetic number, because the mean of its divisors is an integer number (83789110692).

Almost surely, 2^{1305323133313} is an apocalyptic number.

It is an amenable number.

1305323133313 is a deficient number, since it is larger than the sum of its proper divisors (35302637759).

1305323133313 is a wasteful number, since it uses less digits than its factorization.

1305323133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41856.

The product of its (nonzero) digits is 21870, while the sum is 31.

Adding to 1305323133313 its reverse (3133313235031), we get a palindrome (4438636368344).

The spelling of 1305323133313 in words is "one trillion, three hundred five billion, three hundred twenty-three million, one hundred thirty-three thousand, three hundred thirteen".