13313011013 has 2 divisors, whose sum is σ = 13313011014. Its totient is φ = 13313011012.

The previous prime is 13313011003. The next prime is 13313011037. The reversal of 13313011013 is 31011031331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11772684004 + 1540327009 = 108502^2 + 39247^2 .

It is a cyclic number.

It is not a de Polignac number, because 13313011013 - 2¹⁰ = 13313009989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13313010982 and 13313011000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13313011003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656505506 + 6656505507.

It is an arithmetic number, because the mean of its divisors is an integer number (6656505507).

Almost surely, 2^13313011013 is an apocalyptic number.

It is an amenable number.

13313011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313011013 is an equidigital number, since it uses as much as digits as its factorization.

13313011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 13313011013 its reverse (31011031331), we get a palindrome (44324042344).

The spelling of 13313011013 in words is "thirteen billion, three hundred thirteen million, eleven thousand, thirteen".