33013200000 has 768 divisors, whose sum is σ = 124495781760. Its totient is φ = 7680000000.

The previous prime is 33013199993. The next prime is 33013200001. The reversal of 33013200000 is 231033.

It is a happy number.

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 (33013200001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 541199970 + ... + 541200030.

Almost surely, 2^33013200000 is an apocalyptic number.

33013200000 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 33013200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62247890880).

33013200000 is an abundant number, since it is smaller than the sum of its proper divisors (91482581760).

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

33013200000 is an equidigital number, since it uses as much as digits as its factorization.

33013200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 123 counting only the distinct ones).

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

Adding to 33013200000 its reverse (231033), we get a palindrome (33013431033).

It can be divided in two parts, 330 and 13200000, that multiplied together give a square (4356000000 = 66000²).

The spelling of 33013200000 in words is "thirty-three billion, thirteen million, two hundred thousand".