13016106313241 has 2 divisors, whose sum is σ = 13016106313242. Its totient is φ = 13016106313240.

The previous prime is 13016106313237. The next prime is 13016106313271. The reversal of 13016106313241 is 14231360161031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9909929184016 + 3106177129225 = 3148004^2 + 1762435^2 .

It is a cyclic number.

It is not a de Polignac number, because 13016106313241 - 2² = 13016106313237 is a prime.

It is a super-3 number, since 3×13016106313241³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13016106313198 and 13016106313207.

It is not a weakly prime, because it can be changed into another prime (13016106313271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6508053156620 + 6508053156621.

It is an arithmetic number, because the mean of its divisors is an integer number (6508053156621).

Almost surely, 2^{13016106313241} is an apocalyptic number.

It is an amenable number.

13016106313241 is a deficient number, since it is larger than the sum of its proper divisors (1).

13016106313241 is an equidigital number, since it uses as much as digits as its factorization.

13016106313241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

Adding to 13016106313241 its reverse (14231360161031), we get a palindrome (27247466474272).

The spelling of 13016106313241 in words is "thirteen trillion, sixteen billion, one hundred six million, three hundred thirteen thousand, two hundred forty-one".