10013221330081 has 2 divisors, whose sum is σ = 10013221330082. Its totient is φ = 10013221330080.

The previous prime is 10013221330039. The next prime is 10013221330103. The reversal of 10013221330081 is 18003312231001.

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., 8637480003681 + 1375741326400 = 2938959^2 + 1172920^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013221330081 - 2⁹ = 10013221329569 is a prime.

It is a super-2 number, since 2×10013221330081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10013221330481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006610665040 + 5006610665041.

It is an arithmetic number, because the mean of its divisors is an integer number (5006610665041).

Almost surely, 2^{10013221330081} is an apocalyptic number.

It is an amenable number.

10013221330081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013221330081 is an equidigital number, since it uses as much as digits as its factorization.

10013221330081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 10013221330081 its reverse (18003312231001), we get a palindrome (28016533561082).

The spelling of 10013221330081 in words is "ten trillion, thirteen billion, two hundred twenty-one million, three hundred thirty thousand, eighty-one".