13003032100 has 72 divisors (see below), whose sum is σ = 29032516800. Its totient is φ = 5051329920.

The previous prime is 13003032067. The next prime is 13003032113. The reversal of 13003032100 is 123030031.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2213367 + ... + 2219233.

It is an arithmetic number, because the mean of its divisors is an integer number (403229400).

Almost surely, 2^13003032100 is an apocalyptic number.

13003032100 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 13003032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14516258400).

13003032100 is an abundant number, since it is smaller than the sum of its proper divisors (16029484700).

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

13003032100 is a wasteful number, since it uses less digits than its factorization.

13003032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6517 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13003032100 its reverse (123030031), we get a palindrome (13126062131).

The spelling of 13003032100 in words is "thirteen billion, three million, thirty-two thousand, one hundred".