313287787782313 has 2 divisors, whose sum is σ = 313287787782314. Its totient is φ = 313287787782312.

The previous prime is 313287787782163. The next prime is 313287787782323.

313287787782313 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310349810095504 + 2937977686809 = 17616748^2 + 1714053^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313287787782313 - 2¹³ = 313287787774121 is a prime.

It is not a weakly prime, because it can be changed into another prime (313287787782323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156643893891156 + 156643893891157.

It is an arithmetic number, because the mean of its divisors is an integer number (156643893891157).

Almost surely, 2^{313287787782313} is an apocalyptic number.

It is an amenable number.

313287787782313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313287787782313 is an equidigital number, since it uses as much as digits as its factorization.

313287787782313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 398297088, while the sum is 70.

The spelling of 313287787782313 in words is "three hundred thirteen trillion, two hundred eighty-seven billion, seven hundred eighty-seven million, seven hundred eighty-two thousand, three hundred thirteen".