3330331323113 has 2 divisors, whose sum is σ = 3330331323114. Its totient is φ = 3330331323112.

The previous prime is 3330331323101. The next prime is 3330331323119. The reversal of 3330331323113 is 3113231330333.

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., 2088871855849 + 1241459467264 = 1445293^2 + 1114208^2 .

It is an emirp because it is prime and its reverse (3113231330333) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3330331323113 is a prime.

It is a super-2 number, since 2×3330331323113² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3330331323119) 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, 1665165661556 + 1665165661557.

It is an arithmetic number, because the mean of its divisors is an integer number (1665165661557).

Almost surely, 2^{3330331323113} is an apocalyptic number.

It is an amenable number.

3330331323113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3330331323113 is an equidigital number, since it uses as much as digits as its factorization.

3330331323113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 3330331323113 its reverse (3113231330333), we get a palindrome (6443562653446).

The spelling of 3330331323113 in words is "three trillion, three hundred thirty billion, three hundred thirty-one million, three hundred twenty-three thousand, one hundred thirteen".