1310414331321 has 8 divisors (see below), whose sum is σ = 1941354564960. Its totient is φ = 873609554196.

The previous prime is 1310414331293. The next prime is 1310414331449. The reversal of 1310414331321 is 1231334140131.

1310414331321 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 1 + 4 + 331 + 321 = 666.

It is not a de Polignac number, because 1310414331321 - 2⁶ = 1310414331257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 48533864123 = 1310414331321 / (1 + 3 + 1 + 0 + 4 + 1 + 4 + 3 + 3 + 1 + 3 + 2 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1310414330321) 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 7 ways as a sum of consecutive naturals, for example, 24266932035 + ... + 24266932088.

It is an arithmetic number, because the mean of its divisors is an integer number (242669320620).

Almost surely, 2^{1310414331321} is an apocalyptic number.

It is an amenable number.

1310414331321 is a deficient number, since it is larger than the sum of its proper divisors (630940233639).

1310414331321 is an equidigital number, since it uses as much as digits as its factorization.

1310414331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48533864132 (or 48533864126 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1310414331321 its reverse (1231334140131), we get a palindrome (2541748471452).

The spelling of 1310414331321 in words is "one trillion, three hundred ten billion, four hundred fourteen million, three hundred thirty-one thousand, three hundred twenty-one".