211313132103321 has 20 divisors (see below), whose sum is σ = 315665768141812. Its totient is φ = 140875210741248.

The previous prime is 211313132103317. The next prime is 211313132103373. The reversal of 211313132103321 is 123301231313112.

211313132103321 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 1 + 3 + 1 + 321 + 0 + 332 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 183907121847696 + 27406010255625 = 13561236^2 + 5235075^2 .

It is not a de Polignac number, because 211313132103321 - 2² = 211313132103317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211313132108321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67894365 + ... + 70938501.

Almost surely, 2^{211313132103321} is an apocalyptic number.

It is an amenable number.

211313132103321 is a deficient number, since it is larger than the sum of its proper divisors (104352636038491).

211313132103321 is an equidigital number, since it uses as much as digits as its factorization.

211313132103321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901142 (or 3901133 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 211313132103321 its reverse (123301231313112), we get a palindrome (334614363416433).

The spelling of 211313132103321 in words is "two hundred eleven trillion, three hundred thirteen billion, one hundred thirty-two million, one hundred three thousand, three hundred twenty-one".