33300034242132 has 384 divisors, whose sum is σ = 92938024747008. Its totient is φ = 9080709120000.

The previous prime is 33300034242121. The next prime is 33300034242197. The reversal of 33300034242132 is 23124243000333.

It is a super-2 number, since 2×33300034242132² (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 33300034242132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34942322968 + ... + 34942323920.

It is an arithmetic number, because the mean of its divisors is an integer number (242026106112).

Almost surely, 2^{33300034242132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33300034242132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46469012373504).

33300034242132 is an abundant number, since it is smaller than the sum of its proper divisors (59637990504876).

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

33300034242132 is a wasteful number, since it uses less digits than its factorization.

33300034242132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 33300034242132 its reverse (23124243000333), we get a palindrome (56424277242465).

The spelling of 33300034242132 in words is "thirty-three trillion, three hundred billion, thirty-four million, two hundred forty-two thousand, one hundred thirty-two".