201313200144 has 60 divisors (see below), whose sum is σ = 604966715664. Its totient is φ = 57518056512.

The previous prime is 201313200131. The next prime is 201313200197. The reversal of 201313200144 is 441002313102.

201313200144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 201313200144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42793822 + ... + 42798525.

Almost surely, 2^201313200144 is an apocalyptic number.

201313200144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201313200144 is an abundant number, since it is smaller than the sum of its proper divisors (403653515520).

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

201313200144 is a wasteful number, since it uses less digits than its factorization.

201313200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85592372 (or 85592359 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 201313200144 its reverse (441002313102), we get a palindrome (642315513246).

The spelling of 201313200144 in words is "two hundred one billion, three hundred thirteen million, two hundred thousand, one hundred forty-four".