13021130013113 has 2 divisors, whose sum is σ = 13021130013114. Its totient is φ = 13021130013112.

The previous prime is 13021130013103. The next prime is 13021130013131. The reversal of 13021130013113 is 31131003112031.

Together with next prime (13021130013131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10474466199184 + 2546663813929 = 3236428^2 + 1595827^2 .

It is a cyclic number.

It is not a de Polignac number, because 13021130013113 - 2⁴ = 13021130013097 is a prime.

It is not a weakly prime, because it can be changed into another prime (13021130013103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6510565006556 + 6510565006557.

It is an arithmetic number, because the mean of its divisors is an integer number (6510565006557).

Almost surely, 2^{13021130013113} is an apocalyptic number.

It is an amenable number.

13021130013113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021130013113 is an equidigital number, since it uses as much as digits as its factorization.

13021130013113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13021130013113 its reverse (31131003112031), we get a palindrome (44152133125144).

The spelling of 13021130013113 in words is "thirteen trillion, twenty-one billion, one hundred thirty million, thirteen thousand, one hundred thirteen".