313164406001 has 2 divisors, whose sum is σ = 313164406002. Its totient is φ = 313164406000.

The previous prime is 313164405989. The next prime is 313164406019. The reversal of 313164406001 is 100604461313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295336815601 + 17827590400 = 543449^2 + 133520^2 .

It is a cyclic number.

It is not a de Polignac number, because 313164406001 - 2²⁶ = 313097297137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (313164406601) 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, 156582203000 + 156582203001.

It is an arithmetic number, because the mean of its divisors is an integer number (156582203001).

Almost surely, 2^313164406001 is an apocalyptic number.

It is an amenable number.

313164406001 is a deficient number, since it is larger than the sum of its proper divisors (1).

313164406001 is an equidigital number, since it uses as much as digits as its factorization.

313164406001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 313164406001 its reverse (100604461313), we get a palindrome (413768867314).

The spelling of 313164406001 in words is "three hundred thirteen billion, one hundred sixty-four million, four hundred six thousand, one".