3122333001013 has 2 divisors, whose sum is σ = 3122333001014. Its totient is φ = 3122333001012.

The previous prime is 3122333000933. The next prime is 3122333001037. The reversal of 3122333001013 is 3101003332213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3100916727364 + 21416273649 = 1760942^2 + 146343^2 .

It is a cyclic number.

It is not a de Polignac number, because 3122333001013 - 2⁴¹ = 923309745461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3122333001913) 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, 1561166500506 + 1561166500507.

It is an arithmetic number, because the mean of its divisors is an integer number (1561166500507).

Almost surely, 2^{3122333001013} is an apocalyptic number.

It is an amenable number.

3122333001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3122333001013 is an equidigital number, since it uses as much as digits as its factorization.

3122333001013 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 3122333001013 its reverse (3101003332213), we get a palindrome (6223336333226).

The spelling of 3122333001013 in words is "three trillion, one hundred twenty-two billion, three hundred thirty-three million, one thousand, thirteen".