13011131300 has 72 divisors (see below), whose sum is σ = 29279870760. Its totient is φ = 5012582400.

The previous prime is 13011131299. The next prime is 13011131389. The reversal of 13011131300 is 313111031.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 10903954084 + 2107177216 = 104422^2 + 45904^2 .

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, 1215572 + ... + 1226228.

Almost surely, 2^13011131300 is an apocalyptic number.

13011131300 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 13011131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639935380).

13011131300 is an abundant number, since it is smaller than the sum of its proper divisors (16268739460).

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

13011131300 is a wasteful number, since it uses less digits than its factorization.

13011131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11121 (or 11114 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13011131300 its reverse (313111031), we get a palindrome (13324242331).

The spelling of 13011131300 in words is "thirteen billion, eleven million, one hundred thirty-one thousand, three hundred".