33001132130000 has 100 divisors (see below), whose sum is σ = 82058475460500. Its totient is φ = 12843683712000.

The previous prime is 33001132129937. The next prime is 33001132130059. The reversal of 33001132130000 is 3123110033.

It can be written as a sum of positive squares in 10 ways, for example, as 24798567393856 + 8202564736144 = 4979816^2 + 2864012^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 44226125 + ... + 44966124.

It is an arithmetic number, because the mean of its divisors is an integer number (820584754605).

Almost surely, 2^{33001132130000} is an apocalyptic number.

It is an amenable number.

33001132130000 is an abundant number, since it is smaller than the sum of its proper divisors (49057343330500).

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

33001132130000 is an equidigital number, since it uses as much as digits as its factorization.

33001132130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89192314 (or 89192293 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 33001132130000 its reverse (3123110033), we get a palindrome (33004255240033).

The spelling of 33001132130000 in words is "thirty-three trillion, one billion, one hundred thirty-two million, one hundred thirty thousand".