13443430013100 has 288 divisors, whose sum is σ = 44435432616960. Its totient is φ = 3484155928320.

The previous prime is 13443430013051. The next prime is 13443430013147. The reversal of 13443430013100 is 131003434431.

13443430013100 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 343 + 0 + 0 + 1 + 310 + 0 = 666.

13443430013100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13443430013100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 90535117 + ... + 90683483.

Almost surely, 2^{13443430013100} is an apocalyptic number.

13443430013100 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 13443430013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217716308480).

13443430013100 is an abundant number, since it is smaller than the sum of its proper divisors (30992002603860).

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

13443430013100 is a wasteful number, since it uses less digits than its factorization.

13443430013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149334 (or 149321 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13443430013100 its reverse (131003434431), we get a palindrome (13574433447531).

The spelling of 13443430013100 in words is "thirteen trillion, four hundred forty-three billion, four hundred thirty million, thirteen thousand, one hundred".