13035132000 has 288 divisors, whose sum is σ = 50468824224. Its totient is φ = 3159936000.

The previous prime is 13035131959. The next prime is 13035132043. The reversal of 13035132000 is 23153031.

13035132000 is a `hidden beast` number, since 130 + 3 + 513 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379542 + ... + 412458.

It is an arithmetic number, because the mean of its divisors is an integer number (175238973).

Almost surely, 2^13035132000 is an apocalyptic number.

13035132000 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 13035132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25234412112).

13035132000 is an abundant number, since it is smaller than the sum of its proper divisors (37433692224).

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

13035132000 is a wasteful number, since it uses less digits than its factorization.

13035132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32959 (or 32938 counting only the distinct ones).

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

Adding to 13035132000 its reverse (23153031), we get a palindrome (13058285031).

The spelling of 13035132000 in words is "thirteen billion, thirty-five million, one hundred thirty-two thousand".