313322002232053 has 2 divisors, whose sum is σ = 313322002232054. Its totient is φ = 313322002232052.

The previous prime is 313322002232021. The next prime is 313322002232209. The reversal of 313322002232053 is 350232200223313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198108355559409 + 115213646672644 = 14075097^2 + 10733762^2 .

It is a cyclic number.

It is not a de Polignac number, because 313322002232053 - 2⁵ = 313322002232021 is a prime.

It is a super-2 number, since 2×313322002232053² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313322002832053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156661001116026 + 156661001116027.

It is an arithmetic number, because the mean of its divisors is an integer number (156661001116027).

Almost surely, 2^{313322002232053} is an apocalyptic number.

It is an amenable number.

313322002232053 is a deficient number, since it is larger than the sum of its proper divisors (1).

313322002232053 is an equidigital number, since it uses as much as digits as its factorization.

313322002232053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 31.

Adding to 313322002232053 its reverse (350232200223313), we get a palindrome (663554202455366).

The spelling of 313322002232053 in words is "three hundred thirteen trillion, three hundred twenty-two billion, two million, two hundred thirty-two thousand, fifty-three".