33100112000000 has 154 divisors (see below), whose sum is σ = 82708855883406. Its totient is φ = 13240038400000.

The previous prime is 33100111999987. The next prime is 33100112000003. The reversal of 33100112000000 is 21100133.

It can be written as a sum of positive squares in 7 ways, for example, as 32582725264384 + 517386735616 = 5708128^2 + 719296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33100112000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 14965622 + ... + 17034378.

Almost surely, 2^{33100112000000} 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 33100112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41354427941703).

33100112000000 is an abundant number, since it is smaller than the sum of its proper divisors (49608743883406).

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

33100112000000 is an frugal number, since it uses more digits than its factorization.

33100112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068807 (or 2068764 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 33100112000000 its reverse (21100133), we get a palindrome (33100133100133).

The spelling of 33100112000000 in words is "thirty-three trillion, one hundred billion, one hundred twelve million", and thus it is an aban number.