13534120000 has 280 divisors, whose sum is σ = 35878715136. Its totient is φ = 5051904000.

The previous prime is 13534119913. The next prime is 13534120007. The reversal of 13534120000 is 2143531.

It is a self number, because there is not a number n which added to its sum of digits gives 13534120000.

It is not an unprimeable number, because it can be changed into a prime (13534120007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43239844 + ... + 43240156.

Almost surely, 2^13534120000 is an apocalyptic number.

13534120000 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 13534120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17939357568).

13534120000 is an abundant number, since it is smaller than the sum of its proper divisors (22344595136).

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

13534120000 is an equidigital number, since it uses as much as digits as its factorization.

13534120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 13534120000 its reverse (2143531), we get a palindrome (13536263531).

The spelling of 13534120000 in words is "thirteen billion, five hundred thirty-four million, one hundred twenty thousand".