33100121312 has 96 divisors (see below), whose sum is σ = 70408789920. Its totient is φ = 15266119680.

The previous prime is 33100121213. The next prime is 33100121339. The reversal of 33100121312 is 21312100133.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16775558 + ... + 16777530.

It is an arithmetic number, because the mean of its divisors is an integer number (733424895).

Almost surely, 2^33100121312 is an apocalyptic number.

33100121312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33100121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35204394960).

33100121312 is an abundant number, since it is smaller than the sum of its proper divisors (37308668608).

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

33100121312 is a wasteful number, since it uses less digits than its factorization.

33100121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 33100121312 its reverse (21312100133), we get a palindrome (54412221445).

The spelling of 33100121312 in words is "thirty-three billion, one hundred million, one hundred twenty-one thousand, three hundred twelve".