13033000000 has 98 divisors (see below), whose sum is σ = 32330015858. Its totient is φ = 5212800000.

The previous prime is 13032999983. The next prime is 13033000007. The reversal of 13033000000 is 33031.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 13021548544 + 11451456 = 114112^2 + 3384^2 .

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 (13033000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 993484 + ... + 1006516.

It is an arithmetic number, because the mean of its divisors is an integer number (329898121).

Almost surely, 2^13033000000 is an apocalyptic number.

13033000000 is a gapful number since it is divisible by the number (10) 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 13033000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16165007929).

13033000000 is an abundant number, since it is smaller than the sum of its proper divisors (19297015858).

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

13033000000 is an frugal number, since it uses more digits than its factorization.

13033000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13075 (or 13040 counting only the distinct ones).

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

Adding to 13033000000 its reverse (33031), we get a palindrome (13033033031).

The spelling of 13033000000 in words is "thirteen billion, thirty-three million", and thus it is an aban number and an uban number.