132313113301200 has 480 divisors, whose sum is σ = 471291355422720. Its totient is φ = 31510664755200.

The previous prime is 132313113301189. The next prime is 132313113301247. The reversal of 132313113301200 is 2103311313231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 2001587349 + ... + 2001653451.

It is an arithmetic number, because the mean of its divisors is an integer number (981856990464).

Almost surely, 2^{132313113301200} is an apocalyptic number.

132313113301200 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 132313113301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235645677711360).

132313113301200 is an abundant number, since it is smaller than the sum of its proper divisors (338978242121520).

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

132313113301200 is a wasteful number, since it uses less digits than its factorization.

132313113301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70307 (or 70296 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 132313113301200 its reverse (2103311313231), we get a palindrome (134416424614431).

The spelling of 132313113301200 in words is "one hundred thirty-two trillion, three hundred thirteen billion, one hundred thirteen million, three hundred one thousand, two hundred".