3100313331013 has 2 divisors, whose sum is σ = 3100313331014. Its totient is φ = 3100313331012.

The previous prime is 3100313330977. The next prime is 3100313331077. The reversal of 3100313331013 is 3101333130013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1737287435844 + 1363025895169 = 1318062^2 + 1167487^2 .

It is a cyclic number.

It is not a de Polignac number, because 3100313331013 - 2¹⁷ = 3100313199941 is a prime.

It is a super-2 number, since 2×3100313331013² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3100313331413) 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, 1550156665506 + 1550156665507.

It is an arithmetic number, because the mean of its divisors is an integer number (1550156665507).

Almost surely, 2^{3100313331013} is an apocalyptic number.

It is an amenable number.

3100313331013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3100313331013 is an equidigital number, since it uses as much as digits as its factorization.

3100313331013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 3100313331013 its reverse (3101333130013), we get a palindrome (6201646461026).

The spelling of 3100313331013 in words is "three trillion, one hundred billion, three hundred thirteen million, three hundred thirty-one thousand, thirteen".