11313313311301 has 8 divisors (see below), whose sum is σ = 11315948880600. Its totient is φ = 11310677993472.

The previous prime is 11313313311271. The next prime is 11313313311331. The reversal of 11313313311301 is 10311331331311.

It is an interprime number because it is at equal distance from previous prime (11313313311271) and next prime (11313313311331).

It can be written as a sum of positive squares in 4 ways, for example, as 6238250527201 + 5075062784100 = 2497649^2 + 2252790^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11313313311301 - 2¹¹ = 11313313309253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313313311331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112326501 + ... + 112427173.

It is an arithmetic number, because the mean of its divisors is an integer number (1414493610075).

Almost surely, 2^{11313313311301} is an apocalyptic number.

It is an amenable number.

11313313311301 is a deficient number, since it is larger than the sum of its proper divisors (2635569299).

11313313311301 is a wasteful number, since it uses less digits than its factorization.

11313313311301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125735.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 11313313311301 its reverse (10311331331311), we get a palindrome (21624644642612).

The spelling of 11313313311301 in words is "eleven trillion, three hundred thirteen billion, three hundred thirteen million, three hundred eleven thousand, three hundred one".