313332120302353 has 2 divisors, whose sum is σ = 313332120302354. Its totient is φ = 313332120302352.

The previous prime is 313332120302287. The next prime is 313332120302371. The reversal of 313332120302353 is 353203021233313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302688037876624 + 10644082425729 = 17397932^2 + 3262527^2 .

It is an emirp because it is prime and its reverse (353203021233313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313332120302353 - 2²⁹ = 313331583431441 is a prime.

It is a super-2 number, since 2×313332120302353² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313332120302053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156666060151176 + 156666060151177.

It is an arithmetic number, because the mean of its divisors is an integer number (156666060151177).

Almost surely, 2^{313332120302353} is an apocalyptic number.

It is an amenable number.

313332120302353 is a deficient number, since it is larger than the sum of its proper divisors (1).

313332120302353 is an equidigital number, since it uses as much as digits as its factorization.

313332120302353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 87480, while the sum is 34.

Adding to 313332120302353 its reverse (353203021233313), we get a palindrome (666535141535666).

The spelling of 313332120302353 in words is "three hundred thirteen trillion, three hundred thirty-two billion, one hundred twenty million, three hundred two thousand, three hundred fifty-three".