1313301110101 has 2 divisors, whose sum is σ = 1313301110102. Its totient is φ = 1313301110100.

The previous prime is 1313301110063. The next prime is 1313301110119. The reversal of 1313301110101 is 1010111033131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1242478062225 + 70823047876 = 1114665^2 + 266126^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313301110101 - 2³⁵ = 1278941371733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313301119101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656650555050 + 656650555051.

It is an arithmetic number, because the mean of its divisors is an integer number (656650555051).

Almost surely, 2^{1313301110101} is an apocalyptic number.

It is an amenable number.

1313301110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313301110101 is an equidigital number, since it uses as much as digits as its factorization.

1313301110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1313301110101 its reverse (1010111033131), we get a palindrome (2323412143232).

The spelling of 1313301110101 in words is "one trillion, three hundred thirteen billion, three hundred one million, one hundred ten thousand, one hundred one".