13531005000 has 240 divisors, whose sum is σ = 46054008000. Its totient is φ = 3587760000.

The previous prime is 13531004999. The next prime is 13531005001. The reversal of 13531005000 is 50013531.

It is a happy number.

13531005000 is a `hidden beast` number, since 13 + 53 + 100 + 500 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13531004999) and next prime (13531005001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13531005001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8954245 + ... + 8955755.

It is an arithmetic number, because the mean of its divisors is an integer number (191891700).

Almost surely, 2^13531005000 is an apocalyptic number.

13531005000 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 13531005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23027004000).

13531005000 is an abundant number, since it is smaller than the sum of its proper divisors (32523003000).

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

13531005000 is a wasteful number, since it uses less digits than its factorization.

13531005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 13531005000 its reverse (50013531), we get a palindrome (13581018531).

The spelling of 13531005000 in words is "thirteen billion, five hundred thirty-one million, five thousand".