3121103332013 has 2 divisors, whose sum is σ = 3121103332014. Its totient is φ = 3121103332012.

The previous prime is 3121103331947. The next prime is 3121103332027. The reversal of 3121103332013 is 3102333011213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2631085131844 + 490018200169 = 1622062^2 + 700013^2 .

It is an emirp because it is prime and its reverse (3102333011213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3121103332013 - 2²⁴ = 3121086554797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3121103332013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3121103332063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560551666006 + 1560551666007.

It is an arithmetic number, because the mean of its divisors is an integer number (1560551666007).

Almost surely, 2^{3121103332013} is an apocalyptic number.

It is an amenable number.

3121103332013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121103332013 is an equidigital number, since it uses as much as digits as its factorization.

3121103332013 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 23.

Adding to 3121103332013 its reverse (3102333011213), we get a palindrome (6223436343226).

The spelling of 3121103332013 in words is "three trillion, one hundred twenty-one billion, one hundred three million, three hundred thirty-two thousand, thirteen".