33130000000 has 128 divisors (see below), whose sum is σ = 82526155920. Its totient is φ = 13248000000.

The previous prime is 33129999943. The next prime is 33130000003. The reversal of 33130000000 is 3133.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24313541184 + 8816458816 = 155928^2 + 93896^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (33130000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9998344 + ... + 10001656.

Almost surely, 2^33130000000 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 33130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41263077960).

33130000000 is an abundant number, since it is smaller than the sum of its proper divisors (49396155920).

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

33130000000 is an frugal number, since it uses more digits than its factorization.

33130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

Adding to 33130000000 its reverse (3133), we get a palindrome (33130003133).

The spelling of 33130000000 in words is "thirty-three billion, one hundred thirty million", and thus it is an aban number.