132300102000 has 640 divisors, whose sum is σ = 477329448960. Its totient is φ = 31257600000.

The previous prime is 132300101993. The next prime is 132300102001. The reversal of 132300102000 is 201003231.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132300102001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 593273889 + ... + 593274111.

It is an arithmetic number, because the mean of its divisors is an integer number (745827264).

Almost surely, 2^132300102000 is an apocalyptic number.

132300102000 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 132300102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238664724480).

132300102000 is an abundant number, since it is smaller than the sum of its proper divisors (345029346960).

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

132300102000 is a wasteful number, since it uses less digits than its factorization.

132300102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 434 counting only the distinct ones).

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

Adding to 132300102000 its reverse (201003231), we get a palindrome (132501105231).

The spelling of 132300102000 in words is "one hundred thirty-two billion, three hundred million, one hundred two thousand".