132013002330300 has 864 divisors, whose sum is σ = 491875917301440. Its totient is φ = 27075841228800.

The previous prime is 132013002330259. The next prime is 132013002330323. The reversal of 132013002330300 is 3033200310231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8350488796 + ... + 8350504604.

It is an arithmetic number, because the mean of its divisors is an integer number (569300830210).

Almost surely, 2^{132013002330300} is an apocalyptic number.

132013002330300 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 132013002330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245937958650720).

132013002330300 is an abundant number, since it is smaller than the sum of its proper divisors (359862914971140).

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

132013002330300 is a wasteful number, since it uses less digits than its factorization.

132013002330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17071 (or 17057 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 132013002330300 its reverse (3033200310231), we get a palindrome (135046202640531).

The spelling of 132013002330300 in words is "one hundred thirty-two trillion, thirteen billion, two million, three hundred thirty thousand, three hundred".