313233133231301 has 2 divisors, whose sum is σ = 313233133231302. Its totient is φ = 313233133231300.

The previous prime is 313233133231297. The next prime is 313233133231331. The reversal of 313233133231301 is 103132331332313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161265235950625 + 151967897280676 = 12699025^2 + 12327526^2 .

It is an emirp because it is prime and its reverse (103132331332313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313233133231301 - 2² = 313233133231297 is a prime.

It is a super-2 number, since 2×313233133231301² (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 (313233133231331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156616566615650 + 156616566615651.

It is an arithmetic number, because the mean of its divisors is an integer number (156616566615651).

Almost surely, 2^{313233133231301} is an apocalyptic number.

It is an amenable number.

313233133231301 is a deficient number, since it is larger than the sum of its proper divisors (1).

313233133231301 is an equidigital number, since it uses as much as digits as its factorization.

313233133231301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 32.

Adding to 313233133231301 its reverse (103132331332313), we get a palindrome (416365464563614).

The spelling of 313233133231301 in words is "three hundred thirteen trillion, two hundred thirty-three billion, one hundred thirty-three million, two hundred thirty-one thousand, three hundred one".