33144023012100 has 1152 divisors, whose sum is σ = 133614448128000. Its totient is φ = 6249380659200.

The previous prime is 33144023012071. The next prime is 33144023012267. The reversal of 33144023012100 is 121032044133.

It is a happy number.

It is a super-2 number, since 2×33144023012100² (a number of 28 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 868148212 + ... + 868186388.

It is an arithmetic number, because the mean of its divisors is an integer number (115984764000).

Almost surely, 2^{33144023012100} is an apocalyptic number.

33144023012100 is a gapful number since it is divisible by the number (30) 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 33144023012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66807224064000).

33144023012100 is an abundant number, since it is smaller than the sum of its proper divisors (100470425115900).

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

33144023012100 is a wasteful number, since it uses less digits than its factorization.

33144023012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38298 (or 38277 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 33144023012100 its reverse (121032044133), we get a palindrome (33265055056233).

The spelling of 33144023012100 in words is "thirty-three trillion, one hundred forty-four billion, twenty-three million, twelve thousand, one hundred".