13330242013013 has 2 divisors, whose sum is σ = 13330242013014. Its totient is φ = 13330242013012.

The previous prime is 13330242013003. The next prime is 13330242013037. The reversal of 13330242013013 is 31031024203331.

13330242013013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6931330438564 + 6398911574449 = 2632742^2 + 2529607^2 .

It is a cyclic number.

It is not a de Polignac number, because 13330242013013 - 2⁶ = 13330242012949 is a prime.

It is a super-2 number, since 2×13330242013013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13330242013003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665121006506 + 6665121006507.

It is an arithmetic number, because the mean of its divisors is an integer number (6665121006507).

Almost surely, 2^{13330242013013} is an apocalyptic number.

It is an amenable number.

13330242013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13330242013013 is an equidigital number, since it uses as much as digits as its factorization.

13330242013013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13330242013013 its reverse (31031024203331), we get a palindrome (44361266216344).

The spelling of 13330242013013 in words is "thirteen trillion, three hundred thirty billion, two hundred forty-two million, thirteen thousand, thirteen".