13511030000 has 200 divisors, whose sum is σ = 36061993968. Its totient is φ = 4870656000.

The previous prime is 13511029943. The next prime is 13511030003. The reversal of 13511030000 is 3011531.

13511030000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13511030003) 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 39 ways as a sum of consecutive naturals, for example, 5588792 + ... + 5591208.

Almost surely, 2^13511030000 is an apocalyptic number.

13511030000 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 13511030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030996984).

13511030000 is an abundant number, since it is smaller than the sum of its proper divisors (22550963968).

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

13511030000 is a wasteful number, since it uses less digits than its factorization.

13511030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

Adding to 13511030000 its reverse (3011531), we get a palindrome (13514041531).

The spelling of 13511030000 in words is "thirteen billion, five hundred eleven million, thirty thousand".