12413134130100 has 288 divisors, whose sum is σ = 39854504148480. Its totient is φ = 2957493312000.

The previous prime is 12413134130083. The next prime is 12413134130179. The reversal of 12413134130100 is 103143131421.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1365426555 + ... + 1365435645.

It is an arithmetic number, because the mean of its divisors is an integer number (138383694960).

Almost surely, 2^{12413134130100} is an apocalyptic number.

12413134130100 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 12413134130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927252074240).

12413134130100 is an abundant number, since it is smaller than the sum of its proper divisors (27441370018380).

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

12413134130100 is a wasteful number, since it uses less digits than its factorization.

12413134130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16191 (or 16184 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12413134130100 its reverse (103143131421), we get a palindrome (12516277261521).

The spelling of 12413134130100 in words is "twelve trillion, four hundred thirteen billion, one hundred thirty-four million, one hundred thirty thousand, one hundred".