132013200000000 has 1584 divisors, whose sum is σ = 489936405402432. Its totient is φ = 31334400000000.

The previous prime is 132013199999953. The next prime is 132013200000001. The reversal of 132013200000000 is 2310231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (132013200000001) 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 143 ways as a sum of consecutive naturals, for example, 963599999932 + ... + 963600000068.

Almost surely, 2^{132013200000000} is an apocalyptic number.

132013200000000 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 132013200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244968202701216).

132013200000000 is an abundant number, since it is smaller than the sum of its proper divisors (357923205402432).

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

132013200000000 is an frugal number, since it uses more digits than its factorization.

132013200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 132013200000000 its reverse (2310231), we get a palindrome (132013202310231).

The spelling of 132013200000000 in words is "one hundred thirty-two trillion, thirteen billion, two hundred million", and thus it is an aban number.