1313111330321 has 32 divisors (see below), whose sum is σ = 1542466437120. Its totient is φ = 1094519289600.

The previous prime is 1313111330239. The next prime is 1313111330353. The reversal of 1313111330321 is 1230331113131.

It is a cyclic number.

It is not a de Polignac number, because 1313111330321 - 2³⁸ = 1038233423377 is a prime.

It is a super-2 number, since 2×1313111330321² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313111350321) 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 31 ways as a sum of consecutive naturals, for example, 55349300 + ... + 55373018.

It is an arithmetic number, because the mean of its divisors is an integer number (48202076160).

Almost surely, 2^{1313111330321} is an apocalyptic number.

It is an amenable number.

1313111330321 is a deficient number, since it is larger than the sum of its proper divisors (229355106799).

1313111330321 is a wasteful number, since it uses less digits than its factorization.

1313111330321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24845.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 1313111330321 its reverse (1230331113131), we get a palindrome (2543442443452).

The spelling of 1313111330321 in words is "one trillion, three hundred thirteen billion, one hundred eleven million, three hundred thirty thousand, three hundred twenty-one".