201313040 has 20 divisors (see below), whose sum is σ = 468053004. Its totient is φ = 80525184.

The previous prime is 201313033. The next prime is 201313109. The reversal of 201313040 is 40313102.

201313040 is digitally balanced in base 3, 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 2 ways, for example, as 148547344 + 52765696 = 12188^2 + 7264^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 1258127 + ... + 1258286.

Almost surely, 2^201313040 is an apocalyptic number.

201313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201313040 is an abundant number, since it is smaller than the sum of its proper divisors (266739964).

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

201313040 is a wasteful number, since it uses less digits than its factorization.

201313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516426 (or 2516420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 201313040 is about 14188.4826531945. The cubic root of 201313040 is about 586.0805412173.

Adding to 201313040 its reverse (40313102), we get a palindrome (241626142).

The spelling of 201313040 in words is "two hundred one million, three hundred thirteen thousand, forty".