13261300 has 54 divisors (see below), whose sum is σ = 31300514. Its totient is φ = 4848000.

The previous prime is 13261291. The next prime is 13261307. The reversal of 13261300 is 316231.

It can be written as a sum of positive squares in 9 ways, for example, as 272484 + 12988816 = 522^2 + 3604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13261307) 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 17 ways as a sum of consecutive naturals, for example, 131250 + ... + 131350.

Almost surely, 2^13261300 is an apocalyptic number.

13261300 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 13261300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15650257).

13261300 is an abundant number, since it is smaller than the sum of its proper divisors (18039214).

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

13261300 is a wasteful number, since it uses less digits than its factorization.

13261300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 13261300 is about 3641.6067882186. The cubic root of 13261300 is about 236.6984241807.

Adding to 13261300 its reverse (316231), we get a palindrome (13577531).

The spelling of 13261300 in words is "thirteen million, two hundred sixty-one thousand, three hundred".