13001313300 has 144 divisors (see below), whose sum is σ = 37989985152. Its totient is φ = 3432844800.

The previous prime is 13001313287. The next prime is 13001313301. The reversal of 13001313300 is 331310031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13001313300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001313301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20603985 + ... + 20604615.

Almost surely, 2^13001313300 is an apocalyptic number.

13001313300 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 13001313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18994992576).

13001313300 is an abundant number, since it is smaller than the sum of its proper divisors (24988671852).

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

13001313300 is a wasteful number, since it uses less digits than its factorization.

13001313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 13001313300 its reverse (331310031), we get a palindrome (13332623331).

The spelling of 13001313300 in words is "thirteen billion, one million, three hundred thirteen thousand, three hundred".