1331223113305 has 8 divisors (see below), whose sum is σ = 1598159593800. Its totient is φ = 1064517252096.

The previous prime is 1331223113299. The next prime is 1331223113309. The reversal of 1331223113305 is 5033113221331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60126963264 + 1271096150041 = 245208^2 + 1127429^2 .

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 1331223113305 - 2⁷ = 1331223113177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1331223113309) 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, 57642120 + ... + 57665209.

It is an arithmetic number, because the mean of its divisors is an integer number (199769949225).

Almost surely, 2^{1331223113305} is an apocalyptic number.

It is an amenable number.

1331223113305 is a deficient number, since it is larger than the sum of its proper divisors (266936480495).

1331223113305 is a wasteful number, since it uses less digits than its factorization.

1331223113305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115309643.

The product of its (nonzero) digits is 4860, while the sum is 28.

Adding to 1331223113305 its reverse (5033113221331), we get a palindrome (6364336334636).

The spelling of 1331223113305 in words is "one trillion, three hundred thirty-one billion, two hundred twenty-three million, one hundred thirteen thousand, three hundred five".