13243253100 has 576 divisors, whose sum is σ = 50486768640. Its totient is φ = 2599833600.

The previous prime is 13243253087. The next prime is 13243253117. The reversal of 13243253100 is 135234231.

It is a super-2 number, since 2×13243253100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35504514 + ... + 35504886.

It is an arithmetic number, because the mean of its divisors is an integer number (87650640).

Almost surely, 2^13243253100 is an apocalyptic number.

13243253100 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 13243253100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25243384320).

13243253100 is an abundant number, since it is smaller than the sum of its proper divisors (37243515540).

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

13243253100 is a wasteful number, since it uses less digits than its factorization.

13243253100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 13243253100 its reverse (135234231), we get a palindrome (13378487331).

The spelling of 13243253100 in words is "thirteen billion, two hundred forty-three million, two hundred fifty-three thousand, one hundred".