313121585813 has 2 divisors, whose sum is σ = 313121585814. Its totient is φ = 313121585812.

The previous prime is 313121585761. The next prime is 313121585837. The reversal of 313121585813 is 318585121313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234195987844 + 78925597969 = 483938^2 + 280937^2 .

It is a cyclic number.

It is not a de Polignac number, because 313121585813 - 2¹⁴ = 313121569429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313121585213) 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, 156560792906 + 156560792907.

It is an arithmetic number, because the mean of its divisors is an integer number (156560792907).

Almost surely, 2^313121585813 is an apocalyptic number.

It is an amenable number.

313121585813 is a deficient number, since it is larger than the sum of its proper divisors (1).

313121585813 is an equidigital number, since it uses as much as digits as its factorization.

313121585813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 86400, while the sum is 41.

The spelling of 313121585813 in words is "three hundred thirteen billion, one hundred twenty-one million, five hundred eighty-five thousand, eight hundred thirteen".