1311313023321 has 48 divisors (see below), whose sum is σ = 2037627424896. Its totient is φ = 734814332928.

The previous prime is 1311313023289. The next prime is 1311313023329. The reversal of 1311313023321 is 1233203131131.

It is not a de Polignac number, because 1311313023321 - 2⁵ = 1311313023289 is a prime.

It is a super-2 number, since 2×1311313023321² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1311313023291 and 1311313023300.

It is not an unprimeable number, because it can be changed into a prime (1311313023329) 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 47 ways as a sum of consecutive naturals, for example, 152954191 + ... + 152962763.

It is an arithmetic number, because the mean of its divisors is an integer number (42450571352).

Almost surely, 2^{1311313023321} is an apocalyptic number.

It is an amenable number.

1311313023321 is a deficient number, since it is larger than the sum of its proper divisors (726314401575).

1311313023321 is an equidigital number, since it uses as much as digits as its factorization.

1311313023321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11282 (or 11229 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1311313023321 its reverse (1233203131131), we get a palindrome (2544516154452).

The spelling of 1311313023321 in words is "one trillion, three hundred eleven billion, three hundred thirteen million, twenty-three thousand, three hundred twenty-one".