13001131300 has 72 divisors (see below), whose sum is σ = 28944397440. Its totient is φ = 5067139200.

The previous prime is 13001131291. The next prime is 13001131309. The reversal of 13001131300 is 313110031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13001131291) and next prime (13001131309).

It is not an unprimeable number, because it can be changed into a prime (13001131309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642741 + ... + 662659.

It is an arithmetic number, because the mean of its divisors is an integer number (402005520).

Almost surely, 2^13001131300 is an apocalyptic number.

13001131300 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 13001131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14472198720).

13001131300 is an abundant number, since it is smaller than the sum of its proper divisors (15943266140).

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

13001131300 is a wasteful number, since it uses less digits than its factorization.

13001131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20101 (or 20094 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13001131300 its reverse (313110031), we get a palindrome (13314241331).

The spelling of 13001131300 in words is "thirteen billion, one million, one hundred thirty-one thousand, three hundred".