1313331302313 has 12 divisors (see below), whose sum is σ = 2008624344948. Its totient is φ = 824051013120.

The previous prime is 1313331302291. The next prime is 1313331302341. The reversal of 1313331302313 is 3132031333131.

1313331302313 is a `hidden beast` number, since 1 + 3 + 1 + 33 + 313 + 0 + 2 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 906450613929 + 406880688384 = 952077^2 + 637872^2 .

It is not a de Polignac number, because 1313331302313 - 2¹⁸ = 1313331040169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1313331302363) 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, 4291932208 + ... + 4291932513.

It is an arithmetic number, because the mean of its divisors is an integer number (167385362079).

Almost surely, 2^{1313331302313} is an apocalyptic number.

It is an amenable number.

1313331302313 is a deficient number, since it is larger than the sum of its proper divisors (695293042635).

1313331302313 is a wasteful number, since it uses less digits than its factorization.

1313331302313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8583864744 (or 8583864741 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1313331302313 its reverse (3132031333131), we get a palindrome (4445362635444).

The spelling of 1313331302313 in words is "one trillion, three hundred thirteen billion, three hundred thirty-one million, three hundred two thousand, three hundred thirteen".