211313301221331 has 32 divisors (see below), whose sum is σ = 313943811667200. Its totient is φ = 140476497678720.

The previous prime is 211313301221327. The next prime is 211313301221357. The reversal of 211313301221331 is 133122103313112.

211313301221331 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 1 + 3 + 301 + 2 + 21 + 331 = 666.

It is not a de Polignac number, because 211313301221331 - 2² = 211313301221327 is a prime.

It is a super-2 number, since 2×211313301221331² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 211313301221295 and 211313301221304.

It is not an unprimeable number, because it can be changed into a prime (211313301221311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50663211 + ... + 54675291.

It is an arithmetic number, because the mean of its divisors is an integer number (9810744114600).

Almost surely, 2^{211313301221331} is an apocalyptic number.

211313301221331 is a deficient number, since it is larger than the sum of its proper divisors (102630510445869).

211313301221331 is a wasteful number, since it uses less digits than its factorization.

211313301221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017616 (or 4017610 counting only the distinct ones).

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

Adding to 211313301221331 its reverse (133122103313112), we get a palindrome (344435404534443).

The spelling of 211313301221331 in words is "two hundred eleven trillion, three hundred thirteen billion, three hundred one million, two hundred twenty-one thousand, three hundred thirty-one".