201311001 has 20 divisors (see below), whose sum is σ = 301544100. Its totient is φ = 133841376.

The previous prime is 201310979. The next prime is 201311003. The reversal of 201311001 is 100113102.

It can be written as a sum of positive squares in 2 ways, for example, as 15397776 + 185913225 = 3924^2 + 13635^2 .

It is not a de Polignac number, because 201311001 - 2¹⁴ = 201294617 is a prime.

It is a super-2 number, since 2×201311001² = 81052238247244002, which contains 22 as substring.

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 (201311003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28315 + ... + 34703.

It is an arithmetic number, because the mean of its divisors is an integer number (15077205).

Almost surely, 2^201311001 is an apocalyptic number.

It is an amenable number.

201311001 is a deficient number, since it is larger than the sum of its proper divisors (100233099).

201311001 is an equidigital number, since it uses as much as digits as its factorization.

201311001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 201311001 is about 14188.4107989584. The cubic root of 201311001 is about 586.0785625041.

Adding to 201311001 its reverse (100113102), we get a palindrome (301424103).

The spelling of 201311001 in words is "two hundred one million, three hundred eleven thousand, one".