13124431112100 has 864 divisors, whose sum is σ = 49287937370112. Its totient is φ = 2665353600000.

The previous prime is 13124431112071. The next prime is 13124431112159. The reversal of 13124431112100 is 121113442131.

It is a super-3 number, since 3×13124431112100³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2322494275 + ... + 2322499925.

It is an arithmetic number, because the mean of its divisors is an integer number (57046223808).

Almost surely, 2^{13124431112100} is an apocalyptic number.

13124431112100 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 13124431112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24643968685056).

13124431112100 is an abundant number, since it is smaller than the sum of its proper divisors (36163506258012).

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

13124431112100 is a wasteful number, since it uses less digits than its factorization.

13124431112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6017 (or 6003 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13124431112100 its reverse (121113442131), we get a palindrome (13245544554231).

The spelling of 13124431112100 in words is "thirteen trillion, one hundred twenty-four billion, four hundred thirty-one million, one hundred twelve thousand, one hundred".