13530132000 has 768 divisors, whose sum is σ = 61439938560. Its totient is φ = 2809728000.

The previous prime is 13530131983. The next prime is 13530132013. The reversal of 13530132000 is 23103531.

13530132000 is a `hidden beast` number, since 1 + 3 + 530 + 132 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8315187 + ... + 8316813.

It is an arithmetic number, because the mean of its divisors is an integer number (79999920).

Almost surely, 2^13530132000 is an apocalyptic number.

13530132000 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 13530132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30719969280).

13530132000 is an abundant number, since it is smaller than the sum of its proper divisors (47909806560).

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

13530132000 is a wasteful number, since it uses less digits than its factorization.

13530132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 13530132000 its reverse (23103531), we get a palindrome (13553235531).

It can be divided in two parts, 13530 and 132000, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 13530132000 in words is "thirteen billion, five hundred thirty million, one hundred thirty-two thousand".