132213103231200 has 288 divisors, whose sum is σ = 441261242472960. Its totient is φ = 34369198080000.

The previous prime is 132213103231147. The next prime is 132213103231271. The reversal of 132213103231200 is 2132301312231.

It is a super-3 number, since 3×132213103231200³ (a number of 43 digits) contains 333 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25977936 + ... + 30647664.

It is an arithmetic number, because the mean of its divisors is an integer number (1532157091920).

Almost surely, 2^{132213103231200} is an apocalyptic number.

132213103231200 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 132213103231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220630621236480).

132213103231200 is an abundant number, since it is smaller than the sum of its proper divisors (309048139241760).

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

132213103231200 is a wasteful number, since it uses less digits than its factorization.

132213103231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670050 (or 4670037 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132213103231200 its reverse (2132301312231), we get a palindrome (134345404543431).

The spelling of 132213103231200 in words is "one hundred thirty-two trillion, two hundred thirteen billion, one hundred three million, two hundred thirty-one thousand, two hundred".