1313034411321 has 32 divisors (see below), whose sum is σ = 2060107447680. Its totient is φ = 823686478848.

The previous prime is 1313034411307. The next prime is 1313034411379. The reversal of 1313034411321 is 1231144303131.

1313034411321 is a `hidden beast` number, since 1 + 31 + 303 + 4 + 4 + 1 + 1 + 321 = 666.

It is not a de Polignac number, because 1313034411321 - 2⁷ = 1313034411193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1313034415321) 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 31 ways as a sum of consecutive naturals, for example, 1830430 + ... + 2444696.

It is an arithmetic number, because the mean of its divisors is an integer number (64378357740).

Almost surely, 2^{1313034411321} is an apocalyptic number.

It is an amenable number.

1313034411321 is a deficient number, since it is larger than the sum of its proper divisors (747073036359).

1313034411321 is a wasteful number, since it uses less digits than its factorization.

1313034411321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618950 (or 618944 counting only the distinct ones).

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

Adding to 1313034411321 its reverse (1231144303131), we get a palindrome (2544178714452).

The spelling of 1313034411321 in words is "one trillion, three hundred thirteen billion, thirty-four million, four hundred eleven thousand, three hundred twenty-one".