313302120133 has 2 divisors, whose sum is σ = 313302120134. Its totient is φ = 313302120132.

The previous prime is 313302120101. The next prime is 313302120139. The reversal of 313302120133 is 331021203313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212278583169 + 101023536964 = 460737^2 + 317842^2 .

It is a cyclic number.

It is not a de Polignac number, because 313302120133 - 2⁵ = 313302120101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313302120139) 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, 156651060066 + 156651060067.

It is an arithmetic number, because the mean of its divisors is an integer number (156651060067).

Almost surely, 2^313302120133 is an apocalyptic number.

It is an amenable number.

313302120133 is a deficient number, since it is larger than the sum of its proper divisors (1).

313302120133 is an equidigital number, since it uses as much as digits as its factorization.

313302120133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 313302120133 its reverse (331021203313), we get a palindrome (644323323446).

The spelling of 313302120133 in words is "three hundred thirteen billion, three hundred two million, one hundred twenty thousand, one hundred thirty-three".