313001003113 has 2 divisors, whose sum is σ = 313001003114. Its totient is φ = 313001003112.

The previous prime is 313001003099. The next prime is 313001003123. The reversal of 313001003113 is 311300100313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312986540304 + 14462809 = 559452^2 + 3803^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313001003113 is a prime.

It is not a weakly prime, because it can be changed into another prime (313001003123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156500501556 + 156500501557.

It is an arithmetic number, because the mean of its divisors is an integer number (156500501557).

Almost surely, 2^313001003113 is an apocalyptic number.

It is an amenable number.

313001003113 is a deficient number, since it is larger than the sum of its proper divisors (1).

313001003113 is an equidigital number, since it uses as much as digits as its factorization.

313001003113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 313001003113 its reverse (311300100313), we get a palindrome (624301103426).

The spelling of 313001003113 in words is "three hundred thirteen billion, one million, three thousand, one hundred thirteen".