211133131001 has 12 divisors (see below), whose sum is σ = 233055137196. Its totient is φ = 190138634880.

The previous prime is 211133130979. The next prime is 211133131039. The reversal of 211133131001 is 100131331112.

It can be written as a sum of positive squares in 6 ways, for example, as 86848679401 + 124284451600 = 294701^2 + 352540^2 .

It is not a de Polignac number, because 211133131001 - 2¹⁴ = 211133114617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211133134001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4808906 + ... + 4852611.

It is an arithmetic number, because the mean of its divisors is an integer number (19421261433).

Almost surely, 2^211133131001 is an apocalyptic number.

It is an amenable number.

211133131001 is a deficient number, since it is larger than the sum of its proper divisors (21922006195).

211133131001 is an equidigital number, since it uses as much as digits as its factorization.

211133131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9661612 (or 9661571 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 211133131001 its reverse (100131331112), we get a palindrome (311264462113).

The spelling of 211133131001 in words is "two hundred eleven billion, one hundred thirty-three million, one hundred thirty-one thousand, one".