33132101132130 has 512 divisors, whose sum is σ = 107853533061120. Its totient is φ = 6290283847680.

The previous prime is 33132101132099. The next prime is 33132101132147. The reversal of 33132101132130 is 3123110123133.

It is a super-2 number, since 2×33132101132130² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33132101132130.

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 255 ways as a sum of consecutive naturals, for example, 3590772577 + ... + 3590781803.

It is an arithmetic number, because the mean of its divisors is an integer number (210651431760).

Almost surely, 2^{33132101132130} is an apocalyptic number.

33132101132130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33132101132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53926766530560).

33132101132130 is an abundant number, since it is smaller than the sum of its proper divisors (74721431928990).

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

33132101132130 is a wasteful number, since it uses less digits than its factorization.

33132101132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10474.

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

Adding to 33132101132130 its reverse (3123110123133), we get a palindrome (36255211255263).

The spelling of 33132101132130 in words is "thirty-three trillion, one hundred thirty-two billion, one hundred one million, one hundred thirty-two thousand, one hundred thirty".