1311605333013 has 4 divisors (see below), whose sum is σ = 1748807110688. Its totient is φ = 874403555340.

The previous prime is 1311605332967. The next prime is 1311605333029. The reversal of 1311605333013 is 3103335061131.

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 not a de Polignac number, because 1311605333013 - 2¹⁴ = 1311605316629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311605333083) 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 3 ways as a sum of consecutive naturals, for example, 218600888833 + ... + 218600888838.

It is an arithmetic number, because the mean of its divisors is an integer number (437201777672).

Almost surely, 2^{1311605333013} is an apocalyptic number.

It is an amenable number.

1311605333013 is a deficient number, since it is larger than the sum of its proper divisors (437201777675).

1311605333013 is an equidigital number, since it uses as much as digits as its factorization.

1311605333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437201777674.

The product of its (nonzero) digits is 7290, while the sum is 30.

The spelling of 1311605333013 in words is "one trillion, three hundred eleven billion, six hundred five million, three hundred thirty-three thousand, thirteen".