13122433422013 has 2 divisors, whose sum is σ = 13122433422014. Its totient is φ = 13122433422012.

The previous prime is 13122433421987. The next prime is 13122433422143. The reversal of 13122433422013 is 31022433422131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9458589532324 + 3663843889689 = 3075482^2 + 1914117^2 .

It is an emirp because it is prime and its reverse (31022433422131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13122433422013 - 2¹³ = 13122433413821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13122433422713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561216711006 + 6561216711007.

It is an arithmetic number, because the mean of its divisors is an integer number (6561216711007).

Almost surely, 2^{13122433422013} is an apocalyptic number.

It is an amenable number.

13122433422013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122433422013 is an equidigital number, since it uses as much as digits as its factorization.

13122433422013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 13122433422013 its reverse (31022433422131), we get a palindrome (44144866844144).

The spelling of 13122433422013 in words is "thirteen trillion, one hundred twenty-two billion, four hundred thirty-three million, four hundred twenty-two thousand, thirteen".