13010231133313 has 2 divisors, whose sum is σ = 13010231133314. Its totient is φ = 13010231133312.

The previous prime is 13010231133311. The next prime is 13010231133379. The reversal of 13010231133313 is 31333113201031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11372926630129 + 1637304503184 = 3372377^2 + 1279572^2 .

It is a cyclic number.

It is not a de Polignac number, because 13010231133313 - 2¹ = 13010231133311 is a prime.

It is a super-2 number, since 2×13010231133313² (a number of 27 digits) contains 22 as substring.

Together with 13010231133311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13010231133311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6505115566656 + 6505115566657.

It is an arithmetic number, because the mean of its divisors is an integer number (6505115566657).

Almost surely, 2^{13010231133313} is an apocalyptic number.

It is an amenable number.

13010231133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13010231133313 is an equidigital number, since it uses as much as digits as its factorization.

13010231133313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13010231133313 its reverse (31333113201031), we get a palindrome (44343344334344).

The spelling of 13010231133313 in words is "thirteen trillion, ten billion, two hundred thirty-one million, one hundred thirty-three thousand, three hundred thirteen".