413513100144 has 60 divisors (see below), whose sum is σ = 1218170909800. Its totient is φ = 130583083392.

The previous prime is 413513100127. The next prime is 413513100157. The reversal of 413513100144 is 441001315314.

413513100144 is a `hidden beast` number, since 4 + 1 + 3 + 513 + 1 + 0 + 0 + 144 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75566179 + ... + 75571650.

Almost surely, 2^413513100144 is an apocalyptic number.

It is an amenable number.

413513100144 is an abundant number, since it is smaller than the sum of its proper divisors (804657809656).

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

413513100144 is a wasteful number, since it uses less digits than its factorization.

413513100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151137862 (or 151137853 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 413513100144 its reverse (441001315314), we get a palindrome (854514415458).

The spelling of 413513100144 in words is "four hundred thirteen billion, five hundred thirteen million, one hundred thousand, one hundred forty-four".