13033007000 has 128 divisors (see below), whose sum is σ = 32958394560. Its totient is φ = 4795315200.

The previous prime is 13033006997. The next prime is 13033007077. The reversal of 13033007000 is 70033031.

13033007000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13033007000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4067399 + ... + 4070601.

Almost surely, 2^13033007000 is an apocalyptic number.

13033007000 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 13033007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479197280).

13033007000 is an abundant number, since it is smaller than the sum of its proper divisors (19925387560).

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

13033007000 is a wasteful number, since it uses less digits than its factorization.

13033007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 17.

The spelling of 13033007000 in words is "thirteen billion, thirty-three million, seven thousand".