1330003331321 has 6 divisors (see below), whose sum is σ = 1547146732410. Its totient is φ = 1140002855376.

The previous prime is 1330003331299. The next prime is 1330003331323. The reversal of 1330003331321 is 1231333000331.

It can be written as a sum of positive squares in only one way, i.e., 1101912078400 + 228091252921 = 1049720^2 + 477589^2 .

It is not a de Polignac number, because 1330003331321 - 2⁶ = 1330003331257 is a prime.

It is a super-2 number, since 2×1330003331321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1330003331323) 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 5 ways as a sum of consecutive naturals, for example, 13571462516 + ... + 13571462613.

It is an arithmetic number, because the mean of its divisors is an integer number (257857788735).

Almost surely, 2^{1330003331321} is an apocalyptic number.

It is an amenable number.

1330003331321 is a deficient number, since it is larger than the sum of its proper divisors (217143401089).

1330003331321 is an equidigital number, since it uses as much as digits as its factorization.

1330003331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27142925143 (or 27142925136 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 1330003331321 its reverse (1231333000331), we get a palindrome (2561336331652).

The spelling of 1330003331321 in words is "one trillion, three hundred thirty billion, three million, three hundred thirty-one thousand, three hundred twenty-one".