13003042000 has 160 divisors (see below), whose sum is σ = 33980637600. Its totient is φ = 4784025600.

The previous prime is 13003041937. The next prime is 13003042007. The reversal of 13003042000 is 24030031.

It can be written as a sum of positive squares in 16 ways, for example, as 7877627536 + 5125414464 = 88756^2 + 71592^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003042007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9073284 + ... + 9074716.

It is an arithmetic number, because the mean of its divisors is an integer number (212378985).

Almost surely, 2^13003042000 is an apocalyptic number.

13003042000 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 13003042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16990318800).

13003042000 is an abundant number, since it is smaller than the sum of its proper divisors (20977595600).

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

13003042000 is a wasteful number, since it uses less digits than its factorization.

13003042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 13003042000 its reverse (24030031), we get a palindrome (13027072031).

The spelling of 13003042000 in words is "thirteen billion, three million, forty-two thousand".