13311123313 has 2 divisors, whose sum is σ = 13311123314. Its totient is φ = 13311123312.

The previous prime is 13311123311. The next prime is 13311123347. The reversal of 13311123313 is 31332111331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10992893409 + 2318229904 = 104847^2 + 48148^2 .

It is a cyclic number.

It is not a de Polignac number, because 13311123313 - 2¹ = 13311123311 is a prime.

Together with 13311123311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13311123311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655561656 + 6655561657.

It is an arithmetic number, because the mean of its divisors is an integer number (6655561657).

Almost surely, 2^13311123313 is an apocalyptic number.

It is an amenable number.

13311123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311123313 is an equidigital number, since it uses as much as digits as its factorization.

13311123313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 486, while the sum is 22.

Adding to 13311123313 its reverse (31332111331), we get a palindrome (44643234644).

The spelling of 13311123313 in words is "thirteen billion, three hundred eleven million, one hundred twenty-three thousand, three hundred thirteen".