13031221321313 has 4 divisors (see below), whose sum is σ = 14033622961428. Its totient is φ = 12028819681200.

The previous prime is 13031221321303. The next prime is 13031221321439. The reversal of 13031221321313 is 31312312213031.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2901820261729 + 10129401059584 = 1703473^2 + 3182672^2 .

It is a cyclic number.

It is not a de Polignac number, because 13031221321313 - 2²⁰ = 13031220272737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13031221321303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 501200820038 + ... + 501200820063.

It is an arithmetic number, because the mean of its divisors is an integer number (3508405740357).

Almost surely, 2^{13031221321313} is an apocalyptic number.

13031221321313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13031221321313 is a deficient number, since it is larger than the sum of its proper divisors (1002401640115).

13031221321313 is a wasteful number, since it uses less digits than its factorization.

13031221321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002401640114.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 13031221321313 its reverse (31312312213031), we get a palindrome (44343533534344).

The spelling of 13031221321313 in words is "thirteen trillion, thirty-one billion, two hundred twenty-one million, three hundred twenty-one thousand, three hundred thirteen".