1321013223113 has 8 divisors (see below), whose sum is σ = 1325801023176. Its totient is φ = 1316226038400.

The previous prime is 1321013223001. The next prime is 1321013223209. The reversal of 1321013223113 is 3113223101231.

It can be written as a sum of positive squares in 4 ways, for example, as 387378025609 + 933635197504 = 622397^2 + 966248^2 .

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 1321013223113 - 2¹² = 1321013219017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1321013273113) 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, 4389995 + ... + 4681247.

It is an arithmetic number, because the mean of its divisors is an integer number (165725127897).

Almost surely, 2^{1321013223113} is an apocalyptic number.

It is an amenable number.

1321013223113 is a deficient number, since it is larger than the sum of its proper divisors (4787800063).

1321013223113 is a wasteful number, since it uses less digits than its factorization.

1321013223113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307675.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1321013223113 its reverse (3113223101231), we get a palindrome (4434236324344).

The spelling of 1321013223113 in words is "one trillion, three hundred twenty-one billion, thirteen million, two hundred twenty-three thousand, one hundred thirteen".