13013232442013 has 2 divisors, whose sum is σ = 13013232442014. Its totient is φ = 13013232442012.

The previous prime is 13013232441983. The next prime is 13013232442051. The reversal of 13013232442013 is 31024423231031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10765925635609 + 2247306806404 = 3281147^2 + 1499102^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013232442013 - 2¹² = 13013232437917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13013232442313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506616221006 + 6506616221007.

It is an arithmetic number, because the mean of its divisors is an integer number (6506616221007).

Almost surely, 2^{13013232442013} is an apocalyptic number.

It is an amenable number.

13013232442013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013232442013 is an equidigital number, since it uses as much as digits as its factorization.

13013232442013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 13013232442013 its reverse (31024423231031), we get a palindrome (44037655673044).

The spelling of 13013232442013 in words is "thirteen trillion, thirteen billion, two hundred thirty-two million, four hundred forty-two thousand, thirteen".