1313003321331 has 16 divisors (see below), whose sum is σ = 1885389290400. Its totient is φ = 807980106240.

The previous prime is 1313003321233. The next prime is 1313003321341. The reversal of 1313003321331 is 1331233003131.

It is not a de Polignac number, because 1313003321331 - 2¹⁵ = 1313003288563 is a prime.

It is a super-2 number, since 2×1313003321331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313003321341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061701 + ... + 1937321.

It is an arithmetic number, because the mean of its divisors is an integer number (117836830650).

Almost surely, 2^{1313003321331} is an apocalyptic number.

1313003321331 is a deficient number, since it is larger than the sum of its proper divisors (572385969069).

1313003321331 is a wasteful number, since it uses less digits than its factorization.

1313003321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914086.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1313003321331 its reverse (1331233003131), we get a palindrome (2644236324462).

The spelling of 1313003321331 in words is "one trillion, three hundred thirteen billion, three million, three hundred twenty-one thousand, three hundred thirty-one".