13144030433100 has 216 divisors, whose sum is σ = 47092573382400. Its totient is φ = 3003856237440.

The previous prime is 13144030433059. The next prime is 13144030433111. The reversal of 13144030433100 is 133403044131.

13144030433100 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 40 + 304 + 3 + 310 + 0 = 666.

It is a super-2 number, since 2×13144030433100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38885419 + ... + 39221981.

Almost surely, 2^{13144030433100} is an apocalyptic number.

13144030433100 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 13144030433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546286691200).

13144030433100 is an abundant number, since it is smaller than the sum of its proper divisors (33948542949300).

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

13144030433100 is a wasteful number, since it uses less digits than its factorization.

13144030433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342789 (or 342779 counting only the distinct ones).

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

Adding to 13144030433100 its reverse (133403044131), we get a palindrome (13277433477231).

The spelling of 13144030433100 in words is "thirteen trillion, one hundred forty-four billion, thirty million, four hundred thirty-three thousand, one hundred".