13012131300 has 216 divisors, whose sum is σ = 43905002400. Its totient is φ = 2966745600.

The previous prime is 13012131263. The next prime is 13012131311. The reversal of 13012131300 is 313121031.

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 13012131300.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7657851 + ... + 7659549.

It is an arithmetic number, because the mean of its divisors is an integer number (203263900).

Almost surely, 2^13012131300 is an apocalyptic number.

13012131300 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 13012131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21952501200).

13012131300 is an abundant number, since it is smaller than the sum of its proper divisors (30892871100).

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

13012131300 is a wasteful number, since it uses less digits than its factorization.

13012131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13012131300 its reverse (313121031), we get a palindrome (13325252331).

The spelling of 13012131300 in words is "thirteen billion, twelve million, one hundred thirty-one thousand, three hundred".