330003021102113 has 2 divisors, whose sum is σ = 330003021102114. Its totient is φ = 330003021102112.

The previous prime is 330003021102103. The next prime is 330003021102137. The reversal of 330003021102113 is 311201120300033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312237664381504 + 17765356720609 = 17670248^2 + 4214897^2 .

It is a cyclic number.

It is not a de Polignac number, because 330003021102113 - 2¹⁸ = 330003020839969 is a prime.

It is not a weakly prime, because it can be changed into another prime (330003021102103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165001510551056 + 165001510551057.

It is an arithmetic number, because the mean of its divisors is an integer number (165001510551057).

Almost surely, 2^{330003021102113} is an apocalyptic number.

It is an amenable number.

330003021102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

330003021102113 is an equidigital number, since it uses as much as digits as its factorization.

330003021102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 330003021102113 its reverse (311201120300033), we get a palindrome (641204141402146).

The spelling of 330003021102113 in words is "three hundred thirty trillion, three billion, twenty-one million, one hundred two thousand, one hundred thirteen".