132313201020000 has 5760 divisors, whose sum is σ = 658579683041280. Its totient is φ = 24305909760000.

The previous prime is 132313201019969. The next prime is 132313201020043. The reversal of 132313201020000 is 20102313231.

132313201020000 is a `hidden beast` number, since 1 + 323 + 1 + 320 + 1 + 0 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 959 ways as a sum of consecutive naturals, for example, 593332739889 + ... + 593332740111.

It is an arithmetic number, because the mean of its divisors is an integer number (114336750528).

Almost surely, 2^{132313201020000} is an apocalyptic number.

132313201020000 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 132313201020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329289841520640).

132313201020000 is an abundant number, since it is smaller than the sum of its proper divisors (526266482021280).

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

132313201020000 is a wasteful number, since it uses less digits than its factorization.

132313201020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132313201020000 its reverse (20102313231), we get a palindrome (132333303333231).

The spelling of 132313201020000 in words is "one hundred thirty-two trillion, three hundred thirteen billion, two hundred one million, twenty thousand".