201104431313120 has 48 divisors (see below), whose sum is σ = 486158270598000. Its totient is φ = 78571033626624.

The previous prime is 201104431313081. The next prime is 201104431313131. The reversal of 201104431313120 is 21313134401102.

It is a self number, because there is not a number n which added to its sum of digits gives 201104431313120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14615140745 + ... + 14615154504.

It is an arithmetic number, because the mean of its divisors is an integer number (10128297304125).

Almost surely, 2^{201104431313120} is an apocalyptic number.

201104431313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201104431313120 is an abundant number, since it is smaller than the sum of its proper divisors (285053839284880).

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

201104431313120 is a wasteful number, since it uses less digits than its factorization.

201104431313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29230295307 (or 29230295299 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 201104431313120 its reverse (21313134401102), we get a palindrome (222417565714222).

The spelling of 201104431313120 in words is "two hundred one trillion, one hundred four billion, four hundred thirty-one million, three hundred thirteen thousand, one hundred twenty".