33113343442212 has 288 divisors, whose sum is σ = 95865023794176. Its totient is φ = 9539470828800.

The previous prime is 33113343442211. The next prime is 33113343442243. The reversal of 33113343442212 is 21224434331133.

33113343442212 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 3 + 3 + 434 + 4 + 2 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33113343442211) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3433920663 + ... + 3433930305.

It is an arithmetic number, because the mean of its divisors is an integer number (332864665952).

Almost surely, 2^{33113343442212} 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 33113343442212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47932511897088).

33113343442212 is an abundant number, since it is smaller than the sum of its proper divisors (62751680351964).

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

33113343442212 is a wasteful number, since it uses less digits than its factorization.

33113343442212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11951 (or 11946 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 33113343442212 its reverse (21224434331133), we get a palindrome (54337777773345).

The spelling of 33113343442212 in words is "thirty-three trillion, one hundred thirteen billion, three hundred forty-three million, four hundred forty-two thousand, two hundred twelve".