3300013122137 has 2 divisors, whose sum is σ = 3300013122138. Its totient is φ = 3300013122136.

The previous prime is 3300013122127. The next prime is 3300013122139. The reversal of 3300013122137 is 7312213100033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2275213241161 + 1024799880976 = 1508381^2 + 1012324^2 .

It is an emirp because it is prime and its reverse (7312213100033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3300013122137 - 2¹⁶ = 3300013056601 is a prime.

Together with 3300013122139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3300013122139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1650006561068 + 1650006561069.

It is an arithmetic number, because the mean of its divisors is an integer number (1650006561069).

Almost surely, 2^{3300013122137} is an apocalyptic number.

It is an amenable number.

3300013122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3300013122137 is an equidigital number, since it uses as much as digits as its factorization.

3300013122137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 26.

The spelling of 3300013122137 in words is "three trillion, three hundred billion, thirteen million, one hundred twenty-two thousand, one hundred thirty-seven".