13002003000 has 288 divisors, whose sum is σ = 51123486960. Its totient is φ = 2971785600.

The previous prime is 13002002977. The next prime is 13002003011. The reversal of 13002003000 is 30020031.

It is a happy number.

13002003000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 71 ways as a sum of consecutive naturals, for example, 426259 + ... + 455741.

Almost surely, 2^13002003000 is an apocalyptic number.

13002003000 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 13002003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25561743480).

13002003000 is an abundant number, since it is smaller than the sum of its proper divisors (38121483960).

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

13002003000 is a wasteful number, since it uses less digits than its factorization.

13002003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29524 (or 29500 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 13002003000 its reverse (30020031), we get a palindrome (13032023031).

The spelling of 13002003000 in words is "thirteen billion, two million, three thousand".