1311110333321 has 8 divisors (see below), whose sum is σ = 1361363128200. Its totient is φ = 1261193678080.

The previous prime is 1311110333317. The next prime is 1311110333381. The reversal of 1311110333321 is 1233330111131.

It can be written as a sum of positive squares in 4 ways, for example, as 334592833600 + 976517499721 = 578440^2 + 988189^2 .

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 1311110333321 - 2² = 1311110333317 is a prime.

It is a super-2 number, since 2×1311110333321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1311110333381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84026960 + ... + 84042561.

It is an arithmetic number, because the mean of its divisors is an integer number (170170391025).

Almost surely, 2^{1311110333321} is an apocalyptic number.

It is an amenable number.

1311110333321 is a deficient number, since it is larger than the sum of its proper divisors (50252794879).

1311110333321 is a wasteful number, since it uses less digits than its factorization.

1311110333321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168069819.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 1311110333321 its reverse (1233330111131), we get a palindrome (2544440444452).

The spelling of 1311110333321 in words is "one trillion, three hundred eleven billion, one hundred ten million, three hundred thirty-three thousand, three hundred twenty-one".