201314020 has 48 divisors (see below), whose sum is σ = 429368688. Its totient is φ = 79278080.

The previous prime is 201313993. The next prime is 201314021. The reversal of 201314020 is 20413102.

201314020 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 8 ways, for example, as 60559524 + 140754496 = 7782^2 + 11864^2 .

It is not an unprimeable number, because it can be changed into a prime (201314021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634902 + ... + 635218.

It is an arithmetic number, because the mean of its divisors is an integer number (8945181).

Almost surely, 2^201314020 is an apocalyptic number.

201314020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201314020 is an abundant number, since it is smaller than the sum of its proper divisors (228054668).

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

201314020 is a wasteful number, since it uses less digits than its factorization.

201314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 201314020 is about 14188.5171882054. The cubic root of 201314020 is about 586.0814922370.

Adding to 201314020 its reverse (20413102), we get a palindrome (221727122).

The spelling of 201314020 in words is "two hundred one million, three hundred fourteen thousand, twenty".