132220322213130 has 192 divisors, whose sum is σ = 349581079175328. Its totient is φ = 34668284313600.

The previous prime is 132220322213101. The next prime is 132220322213141. The reversal of 132220322213130 is 31312223022231.

132220322213130 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 0 + 322 + 21 + 313 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 50589946500921 + 81630375712209 = 7112661^2 + 9034953^2 .

It is a super-3 number, since 3×132220322213130³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 132220322213094 and 132220322213103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1205531974 + ... + 1205641646.

Almost surely, 2^{132220322213130} is an apocalyptic number.

132220322213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132220322213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174790539587664).

132220322213130 is an abundant number, since it is smaller than the sum of its proper divisors (217360756962198).

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

132220322213130 is a wasteful number, since it uses less digits than its factorization.

132220322213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110681 (or 110678 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132220322213130 its reverse (31312223022231), we get a palindrome (163532545235361).

The spelling of 132220322213130 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred twenty-two million, two hundred thirteen thousand, one hundred thirty".