13020031321013 has 8 divisors (see below), whose sum is σ = 13294720087128. Its totient is φ = 12746417658624.

The previous prime is 13020031320937. The next prime is 13020031321043. The reversal of 13020031321013 is 31012313002031.

It can be written as a sum of positive squares in 4 ways, for example, as 7068270938884 + 5951760382129 = 2658622^2 + 2439623^2 .

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 13020031321013 - 2¹⁴ = 13020031304629 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 (13020031321043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268751456 + ... + 268799897.

It is an arithmetic number, because the mean of its divisors is an integer number (1661840010891).

Almost surely, 2^{13020031321013} is an apocalyptic number.

It is an amenable number.

13020031321013 is a deficient number, since it is larger than the sum of its proper divisors (274688766115).

13020031321013 is an equidigital number, since it uses as much as digits as its factorization.

13020031321013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537551863.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13020031321013 its reverse (31012313002031), we get a palindrome (44032344323044).

The spelling of 13020031321013 in words is "thirteen trillion, twenty billion, thirty-one million, three hundred twenty-one thousand, thirteen".