313461333001 has 2 divisors, whose sum is σ = 313461333002. Its totient is φ = 313461333000.

The previous prime is 313461332983. The next prime is 313461333011. The reversal of 313461333001 is 100333164313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215068700025 + 98392632976 = 463755^2 + 313676^2 .

It is a cyclic number.

It is not a de Polignac number, because 313461333001 - 2³⁵ = 279101594633 is a prime.

It is not a weakly prime, because it can be changed into another prime (313461333011) 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, 156730666500 + 156730666501.

It is an arithmetic number, because the mean of its divisors is an integer number (156730666501).

Almost surely, 2^313461333001 is an apocalyptic number.

It is an amenable number.

313461333001 is a deficient number, since it is larger than the sum of its proper divisors (1).

313461333001 is an equidigital number, since it uses as much as digits as its factorization.

313461333001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 313461333001 its reverse (100333164313), we get a palindrome (413794497314).

The spelling of 313461333001 in words is "three hundred thirteen billion, four hundred sixty-one million, three hundred thirty-three thousand, one".