13633630013 has 2 divisors, whose sum is σ = 13633630014. Its totient is φ = 13633630012.

The previous prime is 13633629967. The next prime is 13633630061. The reversal of 13633630013 is 31003633631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12113643844 + 1519986169 = 110062^2 + 38987^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13633630013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13633630313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6816815006 + 6816815007.

It is an arithmetic number, because the mean of its divisors is an integer number (6816815007).

Almost surely, 2^13633630013 is an apocalyptic number.

It is an amenable number.

13633630013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13633630013 is an equidigital number, since it uses as much as digits as its factorization.

13633630013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 29.

The spelling of 13633630013 in words is "thirteen billion, six hundred thirty-three million, six hundred thirty thousand, thirteen".