13505122214333 has 8 divisors (see below), whose sum is σ = 13548862339320. Its totient is φ = 13461444622080.

The previous prime is 13505122214321. The next prime is 13505122214341. The reversal of 13505122214333 is 33341222150531.

It can be written as a sum of positive squares in 4 ways, for example, as 793601250649 + 12711520963684 = 890843^2 + 3565322^2 .

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 13505122214333 - 2¹⁴ = 13505122197949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13505122214293 and 13505122214302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505122214383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15200528 + ... + 16064441.

It is an arithmetic number, because the mean of its divisors is an integer number (1693607792415).

Almost surely, 2^{13505122214333} is an apocalyptic number.

It is an amenable number.

13505122214333 is a deficient number, since it is larger than the sum of its proper divisors (43740124987).

13505122214333 is an equidigital number, since it uses as much as digits as its factorization.

13505122214333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31266367.

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 13505122214333 its reverse (33341222150531), we get a palindrome (46846344364864).

The spelling of 13505122214333 in words is "thirteen trillion, five hundred five billion, one hundred twenty-two million, two hundred fourteen thousand, three hundred thirty-three".