3131110221313 has 2 divisors, whose sum is σ = 3131110221314. Its totient is φ = 3131110221312.

The previous prime is 3131110221311. The next prime is 3131110221341. The reversal of 3131110221313 is 3131220111313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3131087782144 + 22439169 = 1769488^2 + 4737^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131110221313 - 2¹ = 3131110221311 is a prime.

It is a super-3 number, since 3×3131110221313³ (a number of 38 digits) contains 333 as substring.

Together with 3131110221311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3131110221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565555110656 + 1565555110657.

It is an arithmetic number, because the mean of its divisors is an integer number (1565555110657).

Almost surely, 2^{3131110221313} is an apocalyptic number.

It is an amenable number.

3131110221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131110221313 is an equidigital number, since it uses as much as digits as its factorization.

3131110221313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 3131110221313 its reverse (3131220111313), we get a palindrome (6262330332626).

The spelling of 3131110221313 in words is "three trillion, one hundred thirty-one billion, one hundred ten million, two hundred twenty-one thousand, three hundred thirteen".