13261075300 has 144 divisors (see below), whose sum is σ = 32244436224. Its totient is φ = 4692240000.

The previous prime is 13261075279. The next prime is 13261075319. The reversal of 13261075300 is 357016231.

It is a super-3 number, since 3×13261075300³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23224015 + ... + 23224585.

It is an arithmetic number, because the mean of its divisors is an integer number (223919696).

Almost surely, 2^13261075300 is an apocalyptic number.

13261075300 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 13261075300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16122218112).

13261075300 is an abundant number, since it is smaller than the sum of its proper divisors (18983360924).

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

13261075300 is a wasteful number, since it uses less digits than its factorization.

13261075300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 13261075300 in words is "thirteen billion, two hundred sixty-one million, seventy-five thousand, three hundred".