313101323329 has 2 divisors, whose sum is σ = 313101323330. Its totient is φ = 313101323328.

The previous prime is 313101323309. The next prime is 313101323341. The reversal of 313101323329 is 923323101313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198737640000 + 114363683329 = 445800^2 + 338177^2 .

It is a cyclic number.

It is not a de Polignac number, because 313101323329 - 2¹⁹ = 313100799041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313101323329.

It is not a weakly prime, because it can be changed into another prime (313101323309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156550661664 + 156550661665.

It is an arithmetic number, because the mean of its divisors is an integer number (156550661665).

Almost surely, 2^313101323329 is an apocalyptic number.

It is an amenable number.

313101323329 is a deficient number, since it is larger than the sum of its proper divisors (1).

313101323329 is an equidigital number, since it uses as much as digits as its factorization.

313101323329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 31.

The spelling of 313101323329 in words is "three hundred thirteen billion, one hundred one million, three hundred twenty-three thousand, three hundred twenty-nine".