13221320177 has 8 divisors (see below), whose sum is σ = 14263915176. Its totient is φ = 12182378112.

The previous prime is 13221320171. The next prime is 13221320191. The reversal of 13221320177 is 77102312231.

It can be written as a sum of positive squares in 4 ways, for example, as 12645136 + 13208675041 = 3556^2 + 114929^2 .

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 13221320177 - 2¹⁴ = 13221303793 is a prime.

It is a super-3 number, since 3×13221320177³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13221320171) 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, 905708 + ... + 920189.

It is an arithmetic number, because the mean of its divisors is an integer number (1782989397).

Almost surely, 2^13221320177 is an apocalyptic number.

It is an amenable number.

13221320177 is a deficient number, since it is larger than the sum of its proper divisors (1042594999).

13221320177 is a wasteful number, since it uses less digits than its factorization.

13221320177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826467.

The product of its (nonzero) digits is 3528, while the sum is 29.

The spelling of 13221320177 in words is "thirteen billion, two hundred twenty-one million, three hundred twenty thousand, one hundred seventy-seven".