13021320133313 has 8 divisors (see below), whose sum is σ = 13032939971880. Its totient is φ = 13009701963520.

The previous prime is 13021320133309. The next prime is 13021320133319. The reversal of 13021320133313 is 31333102312031.

It can be written as a sum of positive squares in 4 ways, for example, as 10170531022129 + 2850789111184 = 3189127^2 + 1688428^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13021320133313 - 2² = 13021320133309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13021320133319) 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, 15464873 + ... + 16285113.

It is an arithmetic number, because the mean of its divisors is an integer number (1629117496485).

Almost surely, 2^{13021320133313} is an apocalyptic number.

It is an amenable number.

13021320133313 is a deficient number, since it is larger than the sum of its proper divisors (11619838567).

13021320133313 is a wasteful number, since it uses less digits than its factorization.

13021320133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834387.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 13021320133313 its reverse (31333102312031), we get a palindrome (44354422445344).

The spelling of 13021320133313 in words is "thirteen trillion, twenty-one billion, three hundred twenty million, one hundred thirty-three thousand, three hundred thirteen".