11311311300013 has 8 divisors (see below), whose sum is σ = 11323491712128. Its totient is φ = 11299137129024.

The previous prime is 11311311300011. The next prime is 11311311300043. The reversal of 11311311300013 is 31000311311311.

11311311300013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11311311300013 - 2¹ = 11311311300011 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 (11311311300011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2070981 + ... + 5187637.

It is an arithmetic number, because the mean of its divisors is an integer number (1415436464016).

Almost surely, 2^{11311311300013} is an apocalyptic number.

It is an amenable number.

11311311300013 is a deficient number, since it is larger than the sum of its proper divisors (12180412115).

11311311300013 is a wasteful number, since it uses less digits than its factorization.

11311311300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120563.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 11311311300013 its reverse (31000311311311), we get a palindrome (42311622611324).

The spelling of 11311311300013 in words is "eleven trillion, three hundred eleven billion, three hundred eleven million, three hundred thousand, thirteen".