13303013000 has 64 divisors (see below), whose sum is σ = 31437497520. Its totient is φ = 5268480000.

The previous prime is 13303012993. The next prime is 13303013021. The reversal of 13303013000 is 31030331.

It can be written as a sum of positive squares in 8 ways, for example, as 3968748004 + 9334264996 = 62998^2 + 96614^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35144 + ... + 166856.

Almost surely, 2^13303013000 is an apocalyptic number.

13303013000 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 13303013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15718748760).

13303013000 is an abundant number, since it is smaller than the sum of its proper divisors (18134484520).

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

13303013000 is a wasteful number, since it uses less digits than its factorization.

13303013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131835 (or 131821 counting only the distinct ones).

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

Adding to 13303013000 its reverse (31030331), we get a palindrome (13334043331).

The spelling of 13303013000 in words is "thirteen billion, three hundred three million, thirteen thousand".