132013300200000 has 336 divisors, whose sum is σ = 436647344656320. Its totient is φ = 35197999360000.

The previous prime is 132013300199987. The next prime is 132013300200007. The reversal of 132013300200000 is 2003310231.

It is a super-2 number, since 2×132013300200000² (a number of 29 digits) contains 22 as substring.

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 (132013300200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5017786846 + ... + 5017813154.

It is an arithmetic number, because the mean of its divisors is an integer number (1299545668620).

Almost surely, 2^{132013300200000} is an apocalyptic number.

132013300200000 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 132013300200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218323672328160).

132013300200000 is an abundant number, since it is smaller than the sum of its proper divisors (304634044456320).

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

132013300200000 is an frugal number, since it uses more digits than its factorization.

132013300200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34712 (or 34682 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 132013300200000 its reverse (2003310231), we get a palindrome (132015303510231).

The spelling of 132013300200000 in words is "one hundred thirty-two trillion, thirteen billion, three hundred million, two hundred thousand".