1312003321 has 8 divisors (see below), whose sum is σ = 1344544488. Its totient is φ = 1279488000.

The previous prime is 1312003309. The next prime is 1312003361. The reversal of 1312003321 is 1233002131.

It can be written as a sum of positive squares in 4 ways, for example, as 58064400 + 1253938921 = 7620^2 + 35411^2 .

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 1312003321 - 2⁵ = 1312003289 is a prime.

It is a super-3 number, since 3×1312003321³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312003295 and 1312003304.

It is not an unprimeable number, because it can be changed into a prime (1312003361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133041 + ... + 142561.

It is an arithmetic number, because the mean of its divisors is an integer number (168068061).

Almost surely, 2^1312003321 is an apocalyptic number.

It is an amenable number.

1312003321 is a deficient number, since it is larger than the sum of its proper divisors (32541167).

1312003321 is an equidigital number, since it uses as much as digits as its factorization.

1312003321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12923.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1312003321 is about 36221.5863954079. The cubic root of 1312003321 is about 1094.7416586464.

Adding to 1312003321 its reverse (1233002131), we get a palindrome (2545005452).

The spelling of 1312003321 in words is "one billion, three hundred twelve million, three thousand, three hundred twenty-one".