1311103330224 has 40 divisors (see below), whose sum is σ = 3387246297600. Its totient is φ = 437004848448.

The previous prime is 1311103330223. The next prime is 1311103330259. The reversal of 1311103330224 is 4220333011131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1311103330194 and 1311103330203.

It is not an unprimeable number, because it can be changed into a prime (1311103330223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202824 + ... + 1631975.

It is an arithmetic number, because the mean of its divisors is an integer number (84681157440).

Almost surely, 2^{1311103330224} is an apocalyptic number.

It is an amenable number.

1311103330224 is an abundant number, since it is smaller than the sum of its proper divisors (2076142967376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311103330224 is a wasteful number, since it uses less digits than its factorization.

1311103330224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849697 (or 1849691 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1311103330224 its reverse (4220333011131), we get a palindrome (5531436341355).

The spelling of 1311103330224 in words is "one trillion, three hundred eleven billion, one hundred three million, three hundred thirty thousand, two hundred twenty-four".