3111221131313 has 2 divisors, whose sum is σ = 3111221131314. Its totient is φ = 3111221131312.

The previous prime is 3111221131297. The next prime is 3111221131327. The reversal of 3111221131313 is 3131311221113.

3111221131313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2891741062144 + 219480069169 = 1700512^2 + 468487^2 .

It is a cyclic number.

It is not a de Polignac number, because 3111221131313 - 2⁴ = 3111221131297 is a prime.

It is not a weakly prime, because it can be changed into another prime (3111221136313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1555610565656 + 1555610565657.

It is an arithmetic number, because the mean of its divisors is an integer number (1555610565657).

Almost surely, 2^{3111221131313} is an apocalyptic number.

It is an amenable number.

3111221131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3111221131313 is an equidigital number, since it uses as much as digits as its factorization.

3111221131313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 23.

Adding to 3111221131313 its reverse (3131311221113), we get a palindrome (6242532352426).

The spelling of 3111221131313 in words is "three trillion, one hundred eleven billion, two hundred twenty-one million, one hundred thirty-one thousand, three hundred thirteen".