33200013000 has 512 divisors, whose sum is σ = 130514042880. Its totient is φ = 6825600000.

The previous prime is 33200012999. The next prime is 33200013001. The reversal of 33200013000 is 31000233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33200012999) and next prime (33200013001).

It is a super-2 number, since 2×33200013000² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33200013001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23330289 + ... + 23331711.

It is an arithmetic number, because the mean of its divisors is an integer number (254910240).

Almost surely, 2^33200013000 is an apocalyptic number.

33200013000 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 33200013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65257021440).

33200013000 is an abundant number, since it is smaller than the sum of its proper divisors (97314029880).

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

33200013000 is a wasteful number, since it uses less digits than its factorization.

33200013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1552 counting only the distinct ones).

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

Adding to 33200013000 its reverse (31000233), we get a palindrome (33231013233).

The spelling of 33200013000 in words is "thirty-three billion, two hundred million, thirteen thousand".