201440114313 has 48 divisors (see below), whose sum is σ = 292069877760. Its totient is φ = 123414264064.

The previous prime is 201440114257. The next prime is 201440114329. The reversal of 201440114313 is 313411044102.

201440114313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201440114313 - 2²² = 201435920009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201440115313) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18046228 + ... + 18057386.

It is an arithmetic number, because the mean of its divisors is an integer number (6084789120).

Almost surely, 2^201440114313 is an apocalyptic number.

It is an amenable number.

201440114313 is a deficient number, since it is larger than the sum of its proper divisors (90629763447).

201440114313 is a wasteful number, since it uses less digits than its factorization.

201440114313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11686 (or 11669 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 201440114313 its reverse (313411044102), we get a palindrome (514851158415).

The spelling of 201440114313 in words is "two hundred one billion, four hundred forty million, one hundred fourteen thousand, three hundred thirteen".