132513000000 has 196 divisors, whose sum is σ = 438263452656. Its totient is φ = 35336000000.

The previous prime is 132512999987. The next prime is 132513000007. The reversal of 132513000000 is 315231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (132513000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2977915 + ... + 3022085.

Almost surely, 2^132513000000 is an apocalyptic number.

132513000000 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 132513000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219131726328).

132513000000 is an abundant number, since it is smaller than the sum of its proper divisors (305750452656).

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

132513000000 is an frugal number, since it uses more digits than its factorization.

132513000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44216 (or 44181 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 132513000000 its reverse (315231), we get a palindrome (132513315231).

The spelling of 132513000000 in words is "one hundred thirty-two billion, five hundred thirteen million", and thus it is an aban number.