1313312334101 has 2 divisors, whose sum is σ = 1313312334102. Its totient is φ = 1313312334100.

The previous prime is 1313312334097. The next prime is 1313312334151. The reversal of 1313312334101 is 1014332133131.

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., 1312055702500 + 1256631601 = 1145450^2 + 35449^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313312334101 - 2² = 1313312334097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313312334151) 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, 656656167050 + 656656167051.

It is an arithmetic number, because the mean of its divisors is an integer number (656656167051).

Almost surely, 2^{1313312334101} is an apocalyptic number.

It is an amenable number.

1313312334101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313312334101 is an equidigital number, since it uses as much as digits as its factorization.

1313312334101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 1313312334101 its reverse (1014332133131), we get a palindrome (2327644467232).

The spelling of 1313312334101 in words is "one trillion, three hundred thirteen billion, three hundred twelve million, three hundred thirty-four thousand, one hundred one".