132213130211232 has 384 divisors, whose sum is σ = 450606240000000. Its totient is φ = 37699436130048.

The previous prime is 132213130211219. The next prime is 132213130211257. The reversal of 132213130211232 is 232112031312231.

132213130211232 is a `hidden beast` number, since 1 + 3 + 2 + 213 + 1 + 3 + 0 + 211 + 232 = 666.

It is a super-3 number, since 3×132213130211232³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132213130211196 and 132213130211205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147432619 + ... + 148326677.

It is an arithmetic number, because the mean of its divisors is an integer number (1173453750000).

Almost surely, 2^{132213130211232} is an apocalyptic number.

132213130211232 is a gapful number since it is divisible by the number (12) 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 132213130211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225303120000000).

132213130211232 is an abundant number, since it is smaller than the sum of its proper divisors (318393109788768).

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

132213130211232 is an equidigital number, since it uses as much as digits as its factorization.

132213130211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894598 (or 894570 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 132213130211232 its reverse (232112031312231), we get a palindrome (364325161523463).

The spelling of 132213130211232 in words is "one hundred thirty-two trillion, two hundred thirteen billion, one hundred thirty million, two hundred eleven thousand, two hundred thirty-two".