13313003000 has 128 divisors (see below), whose sum is σ = 34232889600. Its totient is φ = 4805712000.

The previous prime is 13313002931. The next prime is 13313003009. The reversal of 13313003000 is 30031331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313003009) 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, 1524647 + ... + 1533353.

It is an arithmetic number, because the mean of its divisors is an integer number (267444450).

Almost surely, 2^13313003000 is an apocalyptic number.

13313003000 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 13313003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116444800).

13313003000 is an abundant number, since it is smaller than the sum of its proper divisors (20919886600).

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

13313003000 is a wasteful number, since it uses less digits than its factorization.

13313003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8864 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 13313003000 its reverse (30031331), we get a palindrome (13343034331).

The spelling of 13313003000 in words is "thirteen billion, three hundred thirteen million, three thousand".