10013303330101 has 2 divisors, whose sum is σ = 10013303330102. Its totient is φ = 10013303330100.

The previous prime is 10013303329949. The next prime is 10013303330123. The reversal of 10013303330101 is 10103330331001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9119614816900 + 893688513201 = 3019870^2 + 945351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10013303330101 is a prime.

It is a super-2 number, since 2×10013303330101² (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 (10013303333101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006651665050 + 5006651665051.

It is an arithmetic number, because the mean of its divisors is an integer number (5006651665051).

Almost surely, 2^{10013303330101} is an apocalyptic number.

It is an amenable number.

10013303330101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013303330101 is an equidigital number, since it uses as much as digits as its factorization.

10013303330101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 10013303330101 its reverse (10103330331001), we get a palindrome (20116633661102).

The spelling of 10013303330101 in words is "ten trillion, thirteen billion, three hundred three million, three hundred thirty thousand, one hundred one".