13145530444100 has 36 divisors (see below), whose sum is σ = 28526534109444. Its totient is φ = 5258077054080.

The previous prime is 13145530444043. The next prime is 13145530444117. The reversal of 13145530444100 is 144403554131.

13145530444100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1287920837956 + 11857609606144 = 1134866^2 + 3443488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2267942 + ... + 5606658.

Almost surely, 2^{13145530444100} is an apocalyptic number.

13145530444100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13145530444100 is an abundant number, since it is smaller than the sum of its proper divisors (15381003665344).

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

13145530444100 is a wasteful number, since it uses less digits than its factorization.

13145530444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378104 (or 3378097 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 13145530444100 its reverse (144403554131), we get a palindrome (13289933998231).

The spelling of 13145530444100 in words is "thirteen trillion, one hundred forty-five billion, five hundred thirty million, four hundred forty-four thousand, one hundred".