13505122000 has 80 divisors (see below), whose sum is σ = 32693836032. Its totient is φ = 5395689600.

The previous prime is 13505121943. The next prime is 13505122009. The reversal of 13505122000 is 22150531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1930509 + ... + 1937491.

Almost surely, 2^13505122000 is an apocalyptic number.

13505122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13505122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346918016).

13505122000 is an abundant number, since it is smaller than the sum of its proper divisors (19188714032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13505122000 is an equidigital number, since it uses as much as digits as its factorization.

13505122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7973 (or 7957 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 13505122000 its reverse (22150531), we get a palindrome (13527272531).

The spelling of 13505122000 in words is "thirteen billion, five hundred five million, one hundred twenty-two thousand".