13310332013221 has 8 divisors (see below), whose sum is σ = 13317463020888. Its totient is φ = 13303202304000.

The previous prime is 13310332013219. The next prime is 13310332013233. The reversal of 13310332013221 is 12231023301331.

It can be written as a sum of positive squares in 4 ways, for example, as 4148904576996 + 9161427436225 = 2036886^2 + 3026785^2 .

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 13310332013221 - 2¹ = 13310332013219 is a prime.

It is a super-3 number, since 3×13310332013221³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310332013261) 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, 20540901 + ... + 21178981.

It is an arithmetic number, because the mean of its divisors is an integer number (1664682877611).

Almost surely, 2^{13310332013221} is an apocalyptic number.

It is an amenable number.

13310332013221 is a deficient number, since it is larger than the sum of its proper divisors (7131007667).

13310332013221 is an equidigital number, since it uses as much as digits as its factorization.

13310332013221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649223.

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

Adding to 13310332013221 its reverse (12231023301331), we get a palindrome (25541355314552).

The spelling of 13310332013221 in words is "thirteen trillion, three hundred ten billion, three hundred thirty-two million, thirteen thousand, two hundred twenty-one".