201001320 has 192 divisors, whose sum is σ = 728254800. Its totient is φ = 47738880.

The previous prime is 201001313. The next prime is 201001321. The reversal of 201001320 is 23100102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 45400644 + 155600676 = 6738^2 + 12474^2 .

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

It is not an unprimeable number, because it can be changed into a prime (201001321) 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, 134980 + ... + 136460.

Almost surely, 2^201001320 is an apocalyptic number.

201001320 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 201001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364127400).

201001320 is an abundant number, since it is smaller than the sum of its proper divisors (527253480).

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

201001320 is a wasteful number, since it uses less digits than its factorization.

201001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1533 counting only the distinct ones).

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

The square root of 201001320 is about 14177.4934314920. The cubic root of 201001320 is about 585.7778825593. Note that the first 3 decimals are identical.

Adding to 201001320 its reverse (23100102), we get a palindrome (224101422).

The spelling of 201001320 in words is "two hundred one million, one thousand, three hundred twenty".