1313001330101 has 2 divisors, whose sum is σ = 1313001330102. Its totient is φ = 1313001330100.

The previous prime is 1313001330071. The next prime is 1313001330107. The reversal of 1313001330101 is 1010331003131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1186726996900 + 126274333201 = 1089370^2 + 355351^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313001330101 - 2²⁶ = 1312934221237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1313001330101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313001330107) 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, 656500665050 + 656500665051.

It is an arithmetic number, because the mean of its divisors is an integer number (656500665051).

Almost surely, 2^{1313001330101} is an apocalyptic number.

It is an amenable number.

1313001330101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313001330101 is an equidigital number, since it uses as much as digits as its factorization.

1313001330101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1313001330101 its reverse (1010331003131), we get a palindrome (2323332333232).

The spelling of 1313001330101 in words is "one trillion, three hundred thirteen billion, one million, three hundred thirty thousand, one hundred one".