201413144120 has 32 divisors (see below), whose sum is σ = 453199875120. Its totient is φ = 80561648640.

The previous prime is 201413144117. The next prime is 201413144147. The reversal of 201413144120 is 21441314102.

201413144120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 904619 + ... + 1105061.

Almost surely, 2^201413144120 is an apocalyptic number.

201413144120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201413144120 is an abundant number, since it is smaller than the sum of its proper divisors (251786731000).

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

201413144120 is a wasteful number, since it uses less digits than its factorization.

201413144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225575 (or 225571 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 201413144120 its reverse (21441314102), we get a palindrome (222854458222).

The spelling of 201413144120 in words is "two hundred one billion, four hundred thirteen million, one hundred forty-four thousand, one hundred twenty".