13253106300 has 144 divisors (see below), whose sum is σ = 44069679360. Its totient is φ = 3012272640.

The previous prime is 13253106287. The next prime is 13253106301. The reversal of 13253106300 is 360135231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13253106301) by changing a digit.

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, 358272 + ... + 393528.

It is an arithmetic number, because the mean of its divisors is an integer number (306039440).

Almost surely, 2^13253106300 is an apocalyptic number.

13253106300 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 13253106300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22034839680).

13253106300 is an abundant number, since it is smaller than the sum of its proper divisors (30816573060).

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

13253106300 is a wasteful number, since it uses less digits than its factorization.

13253106300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35460 (or 35453 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The spelling of 13253106300 in words is "thirteen billion, two hundred fifty-three million, one hundred six thousand, three hundred".