13505122214324 has 48 divisors (see below), whose sum is σ = 25469423551488. Its totient is φ = 6228858348288.

The previous prime is 13505122214321. The next prime is 13505122214341. The reversal of 13505122214324 is 42341222150531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505122214321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530702969 + ... + 530728415.

It is an arithmetic number, because the mean of its divisors is an integer number (530612990656).

Almost surely, 2^{13505122214324} is an apocalyptic number.

It is an amenable number.

13505122214324 is a deficient number, since it is larger than the sum of its proper divisors (11964301337164).

13505122214324 is a wasteful number, since it uses less digits than its factorization.

13505122214324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32064 (or 32062 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 13505122214324 its reverse (42341222150531), we get a palindrome (55846344364855).

The spelling of 13505122214324 in words is "thirteen trillion, five hundred five billion, one hundred twenty-two million, two hundred fourteen thousand, three hundred twenty-four".