1311331133311 has 8 divisors (see below), whose sum is σ = 1394578960880. Its totient is φ = 1229506345728.

The previous prime is 1311331133243. The next prime is 1311331133353. The reversal of 1311331133311 is 1133311331131.

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 1311331133311 - 2¹⁷ = 1311331002239 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 (1311331133611) 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 in 7 ways as a sum of consecutive naturals, for example, 355758096 + ... + 355761781.

It is an arithmetic number, because the mean of its divisors is an integer number (174322370110).

Almost surely, 2^{1311331133311} is an apocalyptic number.

1311331133311 is a deficient number, since it is larger than the sum of its proper divisors (83247827569).

1311331133311 is an equidigital number, since it uses as much as digits as its factorization.

1311331133311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711519993.

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

Adding to 1311331133311 its reverse (1133311331131), we get a palindrome (2444642464442).

The spelling of 1311331133311 in words is "one trillion, three hundred eleven billion, three hundred thirty-one million, one hundred thirty-three thousand, three hundred eleven".