13303321323013 has 8 divisors (see below), whose sum is σ = 13396915575288. Its totient is φ = 13210054897344.

The previous prime is 13303321323007. The next prime is 13303321323031. The reversal of 13303321323013 is 31032312330331.

It can be written as a sum of positive squares in 4 ways, for example, as 1438651515844 + 11864669807169 = 1199438^2 + 3444513^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13303321323013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303321327013) 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, 81875206 + ... + 82037527.

It is an arithmetic number, because the mean of its divisors is an integer number (1674614446911).

Almost surely, 2^{13303321323013} is an apocalyptic number.

It is an amenable number.

13303321323013 is a deficient number, since it is larger than the sum of its proper divisors (93594252275).

13303321323013 is a wasteful number, since it uses less digits than its factorization.

13303321323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163913303.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 13303321323013 its reverse (31032312330331), we get a palindrome (44335633653344).

The spelling of 13303321323013 in words is "thirteen trillion, three hundred three billion, three hundred twenty-one million, three hundred twenty-three thousand, thirteen".