1313421113313 has 20 divisors (see below), whose sum is σ = 2077437318660. Its totient is φ = 824107364352.

The previous prime is 1313421113297. The next prime is 1313421113317. The reversal of 1313421113313 is 3133111243131.

1313421113313 is a `hidden beast` number, since 1 + 3 + 1 + 342 + 1 + 1 + 1 + 3 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 949127989824 + 364293123489 = 974232^2 + 603567^2 .

It is not a de Polignac number, because 1313421113313 - 2⁴ = 1313421113297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1313421113317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476912608 + ... + 476915361.

It is an arithmetic number, because the mean of its divisors is an integer number (103871865933).

Almost surely, 2^{1313421113313} is an apocalyptic number.

It is an amenable number.

1313421113313 is a deficient number, since it is larger than the sum of its proper divisors (764016205347).

1313421113313 is an equidigital number, since it uses as much as digits as its factorization.

1313421113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953827998 (or 953827989 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 1313421113313 its reverse (3133111243131), we get a palindrome (4446532356444).

The spelling of 1313421113313 in words is "one trillion, three hundred thirteen billion, four hundred twenty-one million, one hundred thirteen thousand, three hundred thirteen".