33000013200 has 480 divisors, whose sum is σ = 138738263040. Its totient is φ = 6495897600.

The previous prime is 33000013187. The next prime is 33000013259. The reversal of 33000013200 is 231000033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1746202 + ... + 1764998.

It is an arithmetic number, because the mean of its divisors is an integer number (289038048).

Almost surely, 2^33000013200 is an apocalyptic number.

33000013200 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 33000013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69369131520).

33000013200 is an abundant number, since it is smaller than the sum of its proper divisors (105738249840).

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

33000013200 is a wasteful number, since it uses less digits than its factorization.

33000013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18855 (or 18844 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 33000013200 its reverse (231000033), we get a palindrome (33231013233).

It can be divided in two parts, 330000 and 13200, that multiplied together give a square (4356000000 = 66000²).

The spelling of 33000013200 in words is "thirty-three billion, thirteen thousand, two hundred".