201413120 has 80 divisors (see below), whose sum is σ = 499755960. Its totient is φ = 77758464.

The previous prime is 201413119. The next prime is 201413123. The reversal of 201413120 is 21314102.

It can be written as a sum of positive squares in 4 ways, for example, as 198697216 + 2715904 = 14096^2 + 1648^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 201413095 and 201413104.

It is not an unprimeable number, because it can be changed into a prime (201413123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72884 + ... + 75596.

Almost surely, 2^201413120 is an apocalyptic number.

201413120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249877980).

201413120 is an abundant number, since it is smaller than the sum of its proper divisors (298342840).

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

201413120 is an equidigital number, since it uses as much as digits as its factorization.

201413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 201413120 is about 14192.0090191629. The cubic root of 201413120 is about 586.1776457456.

Adding to 201413120 its reverse (21314102), we get a palindrome (222727222).

The spelling of 201413120 in words is "two hundred one million, four hundred thirteen thousand, one hundred twenty".