313201233013 has 2 divisors, whose sum is σ = 313201233014. Its totient is φ = 313201233012.

The previous prime is 313201232969. The next prime is 313201233029. The reversal of 313201233013 is 310332102313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312550319844 + 650913169 = 559062^2 + 25513^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313201233013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313201233043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156600616506 + 156600616507.

It is an arithmetic number, because the mean of its divisors is an integer number (156600616507).

Almost surely, 2^313201233013 is an apocalyptic number.

It is an amenable number.

313201233013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313201233013 is an equidigital number, since it uses as much as digits as its factorization.

313201233013 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 313201233013 its reverse (310332102313), we get a palindrome (623533335326).

The spelling of 313201233013 in words is "three hundred thirteen billion, two hundred one million, two hundred thirty-three thousand, thirteen".