13031213303221 has 8 divisors (see below), whose sum is σ = 13986765609624. Its totient is φ = 12096662146560.

The previous prime is 13031213303177. The next prime is 13031213303233. The reversal of 13031213303221 is 12230331213031.

13031213303221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 477577744900 + 12553635558321 = 691070^2 + 3543111^2 .

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 13031213303221 - 2¹⁹ = 13031212778933 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 (13031213303621) 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, 5250286150 + ... + 5250288631.

It is an arithmetic number, because the mean of its divisors is an integer number (1748345701203).

Almost surely, 2^{13031213303221} is an apocalyptic number.

It is an amenable number.

13031213303221 is a deficient number, since it is larger than the sum of its proper divisors (955552306403).

13031213303221 is a wasteful number, since it uses less digits than its factorization.

13031213303221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10500574871.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13031213303221 its reverse (12230331213031), we get a palindrome (25261544516252).

The spelling of 13031213303221 in words is "thirteen trillion, thirty-one billion, two hundred thirteen million, three hundred three thousand, two hundred twenty-one".