201320001 has 48 divisors (see below), whose sum is σ = 321656400. Its totient is φ = 121185792.

The previous prime is 201319969. The next prime is 201320033. The reversal of 201320001 is 100023102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201319969) and next prime (201320033).

It can be written as a sum of positive squares in 8 ways, for example, as 389376 + 200930625 = 624^2 + 14175^2 .

It is not a de Polignac number, because 201320001 - 2⁵ = 201319969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201320051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282215 + ... + 1282371.

It is an arithmetic number, because the mean of its divisors is an integer number (6701175).

Almost surely, 2^201320001 is an apocalyptic number.

It is an amenable number.

201320001 is a deficient number, since it is larger than the sum of its proper divisors (120336399).

201320001 is a wasteful number, since it uses less digits than its factorization.

201320001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 201320001 is about 14188.7279556696. The cubic root of 201320001 is about 586.0872963015.

Adding to 201320001 its reverse (100023102), we get a palindrome (301343103).

The spelling of 201320001 in words is "two hundred one million, three hundred twenty thousand, one".