13243200100 has 144 divisors (see below), whose sum is σ = 31976359632. Its totient is φ = 4730019840.

The previous prime is 13243200083. The next prime is 13243200137. The reversal of 13243200100 is 100234231.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 11119280704 + 2123919396 = 105448^2 + 46086^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5028384 + ... + 5031016.

It is an arithmetic number, because the mean of its divisors is an integer number (222058053).

Almost surely, 2^13243200100 is an apocalyptic number.

13243200100 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 13243200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988179816).

13243200100 is an abundant number, since it is smaller than the sum of its proper divisors (18733159532).

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

13243200100 is a wasteful number, since it uses less digits than its factorization.

13243200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13243200100 its reverse (100234231), we get a palindrome (13343434331).

The spelling of 13243200100 in words is "thirteen billion, two hundred forty-three million, two hundred thousand, one hundred".