13122454011013 has 2 divisors, whose sum is σ = 13122454011014. Its totient is φ = 13122454011012.

The previous prime is 13122454011001. The next prime is 13122454011047. The reversal of 13122454011013 is 31011045422131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11690607237409 + 1431846773604 = 3419153^2 + 1196598^2 .

It is an emirp because it is prime and its reverse (31011045422131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13122454011013 - 2¹³ = 13122454002821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13122454011113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561227005506 + 6561227005507.

It is an arithmetic number, because the mean of its divisors is an integer number (6561227005507).

Almost surely, 2^{13122454011013} is an apocalyptic number.

It is an amenable number.

13122454011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122454011013 is an equidigital number, since it uses as much as digits as its factorization.

13122454011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 13122454011013 its reverse (31011045422131), we get a palindrome (44133499433144).

The spelling of 13122454011013 in words is "thirteen trillion, one hundred twenty-two billion, four hundred fifty-four million, eleven thousand, thirteen".