33112201213000 has 512 divisors, whose sum is σ = 100729026478080. Its totient is φ = 9905535360000.

The previous prime is 33112201212989. The next prime is 33112201213051. The reversal of 33112201213000 is 31210221133.

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 127 ways as a sum of consecutive naturals, for example, 121166515 + ... + 121439485.

It is an arithmetic number, because the mean of its divisors is an integer number (196736379840).

Almost surely, 2^{33112201213000} 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 33112201213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50364513239040).

33112201213000 is an abundant number, since it is smaller than the sum of its proper divisors (67616825265080).

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

33112201213000 is a wasteful number, since it uses less digits than its factorization.

33112201213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273086 (or 273072 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 33112201213000 its reverse (31210221133), we get a palindrome (33143411434133).

The spelling of 33112201213000 in words is "thirty-three trillion, one hundred twelve billion, two hundred one million, two hundred thirteen thousand".