13331124433013 has 2 divisors, whose sum is σ = 13331124433014. Its totient is φ = 13331124433012.

The previous prime is 13331124432973. The next prime is 13331124433057. The reversal of 13331124433013 is 31033442113331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10042770155089 + 3288354277924 = 3169033^2 + 1813382^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331124433013 - 2²⁰ = 13331123384437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13331124433313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665562216506 + 6665562216507.

It is an arithmetic number, because the mean of its divisors is an integer number (6665562216507).

Almost surely, 2^{13331124433013} is an apocalyptic number.

It is an amenable number.

13331124433013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331124433013 is an equidigital number, since it uses as much as digits as its factorization.

13331124433013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 13331124433013 its reverse (31033442113331), we get a palindrome (44364566546344).

The spelling of 13331124433013 in words is "thirteen trillion, three hundred thirty-one billion, one hundred twenty-four million, four hundred thirty-three thousand, thirteen".