11311311331313 has 48 divisors (see below), whose sum is σ = 13439769687168. Its totient is φ = 9320558284800.

The previous prime is 11311311331291. The next prime is 11311311331351. The reversal of 11311311331313 is 31313311311311.

It is not a de Polignac number, because 11311311331313 - 2⁶ = 11311311331249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11311311331363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930123953 + ... + 930136113.

It is an arithmetic number, because the mean of its divisors is an integer number (279995201816).

Almost surely, 2^{11311311331313} is an apocalyptic number.

It is an amenable number.

11311311331313 is a deficient number, since it is larger than the sum of its proper divisors (2128458355855).

11311311331313 is an equidigital number, since it uses as much as digits as its factorization.

11311311331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12966 (or 12895 counting only the distinct ones).

The product of its digits is 729, while the sum is 26.

Adding to 11311311331313 its reverse (31313311311311), we get a palindrome (42624622642624).

The spelling of 11311311331313 in words is "eleven trillion, three hundred eleven billion, three hundred eleven million, three hundred thirty-one thousand, three hundred thirteen".