13535130000 has 200 divisors, whose sum is σ = 49935865408. Its totient is φ = 3093696000.

The previous prime is 13535129969. The next prime is 13535130001. The reversal of 13535130000 is 3153531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13535130001) 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, 177774 + ... + 242226.

Almost surely, 2^13535130000 is an apocalyptic number.

13535130000 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 13535130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24967932704).

13535130000 is an abundant number, since it is smaller than the sum of its proper divisors (36400735408).

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

13535130000 is an equidigital number, since it uses as much as digits as its factorization.

13535130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64491 (or 64470 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 21.

Adding to 13535130000 its reverse (3153531), we get a palindrome (13538283531).

The spelling of 13535130000 in words is "thirteen billion, five hundred thirty-five million, one hundred thirty thousand".