1311333221313 has 12 divisors (see below), whose sum is σ = 1894170757908. Its totient is φ = 874211637600.

The previous prime is 1311333221311. The next prime is 1311333221327. The reversal of 1311333221313 is 3131223331131.

1311333221313 is a `hidden beast` number, since 1 + 3 + 1 + 13 + 332 + 2 + 1 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 763958158209 + 547375063104 = 874047^2 + 739848^2 .

It is not a de Polignac number, because 1311333221313 - 2¹ = 1311333221311 is a prime.

It is a super-3 number, since 3×1311333221313³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311333221311) 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, 44038 + ... + 1620063.

It is an arithmetic number, because the mean of its divisors is an integer number (157847563159).

Almost surely, 2^{1311333221313} is an apocalyptic number.

It is an amenable number.

1311333221313 is a deficient number, since it is larger than the sum of its proper divisors (582837536595).

1311333221313 is a wasteful number, since it uses less digits than its factorization.

1311333221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751664 (or 1751661 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 1311333221313 its reverse (3131223331131), we get a palindrome (4442556552444).

The spelling of 1311333221313 in words is "one trillion, three hundred eleven billion, three hundred thirty-three million, two hundred twenty-one thousand, three hundred thirteen".