211001311001 has 16 divisors (see below), whose sum is σ = 227547339264. Its totient is φ = 194500522944.

The previous prime is 211001310953. The next prime is 211001311039. The reversal of 211001311001 is 100113100112.

It is a happy number.

It is not a de Polignac number, because 211001311001 - 2²² = 210997116697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211001311051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38173700 + ... + 38179226.

It is an arithmetic number, because the mean of its divisors is an integer number (14221708704).

Almost surely, 2^211001311001 is an apocalyptic number.

It is an amenable number.

211001311001 is a deficient number, since it is larger than the sum of its proper divisors (16546028263).

211001311001 is a wasteful number, since it uses less digits than its factorization.

211001311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9080.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 211001311001 its reverse (100113100112), we get a palindrome (311114411113).

The spelling of 211001311001 in words is "two hundred eleven billion, one million, three hundred eleven thousand, one".