1303322312321 has 16 divisors (see below), whose sum is σ = 1337809280976. Its totient is φ = 1268966400000.

The previous prime is 1303322312317. The next prime is 1303322312323. The reversal of 1303322312321 is 1232132233031.

It can be written as a sum of positive squares in 8 ways, for example, as 878791878721 + 424530433600 = 937439^2 + 651560^2 .

It is not a de Polignac number, because 1303322312321 - 2² = 1303322312317 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1303322312323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43778081 + ... + 43807841.

It is an arithmetic number, because the mean of its divisors is an integer number (83613080061).

Almost surely, 2^{1303322312321} is an apocalyptic number.

It is an amenable number.

1303322312321 is a deficient number, since it is larger than the sum of its proper divisors (34486968655).

1303322312321 is a wasteful number, since it uses less digits than its factorization.

1303322312321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31924.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 1303322312321 its reverse (1232132233031), we get a palindrome (2535454545352).

The spelling of 1303322312321 in words is "one trillion, three hundred three billion, three hundred twenty-two million, three hundred twelve thousand, three hundred twenty-one".