13003101300 has 144 divisors (see below), whose sum is σ = 43092241920. Its totient is φ = 2965549440.

The previous prime is 13003101289. The next prime is 13003101329. The reversal of 13003101300 is 310130031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 974071 + ... + 987329.

It is an arithmetic number, because the mean of its divisors is an integer number (299251680).

Almost surely, 2^13003101300 is an apocalyptic number.

13003101300 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 13003101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21546120960).

13003101300 is an abundant number, since it is smaller than the sum of its proper divisors (30089140620).

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

13003101300 is a wasteful number, since it uses less digits than its factorization.

13003101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13750 (or 13743 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13003101300 its reverse (310130031), we get a palindrome (13313231331).

The spelling of 13003101300 in words is "thirteen billion, three million, one hundred one thousand, three hundred".