3300312301213 has 2 divisors, whose sum is σ = 3300312301214. Its totient is φ = 3300312301212.

The previous prime is 3300312301211. The next prime is 3300312301261. The reversal of 3300312301213 is 3121032130033.

3300312301213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3069861418404 + 230450882809 = 1752102^2 + 480053^2 .

It is a cyclic number.

It is not a de Polignac number, because 3300312301213 - 2¹ = 3300312301211 is a prime.

It is a super-2 number, since 2×3300312301213² (a number of 26 digits) contains 22 as substring.

Together with 3300312301211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3300312301211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1650156150606 + 1650156150607.

It is an arithmetic number, because the mean of its divisors is an integer number (1650156150607).

Almost surely, 2^{3300312301213} is an apocalyptic number.

It is an amenable number.

3300312301213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3300312301213 is an equidigital number, since it uses as much as digits as its factorization.

3300312301213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 3300312301213 its reverse (3121032130033), we get a palindrome (6421344431246).

The spelling of 3300312301213 in words is "three trillion, three hundred billion, three hundred twelve million, three hundred one thousand, two hundred thirteen".