211221201312133 has 8 divisors (see below), whose sum is σ = 211806612064256. Its totient is φ = 210635892882000.

The previous prime is 211221201312109. The next prime is 211221201312169. The reversal of 211221201312133 is 331213102122112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211221201312133 is a prime.

It is a super-2 number, since 2×211221201312133² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211221201312098 and 211221201312107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221201312533) 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 7 ways as a sum of consecutive naturals, for example, 21445293 + ... + 29704258.

It is an arithmetic number, because the mean of its divisors is an integer number (26475826508032).

Almost surely, 2^{211221201312133} is an apocalyptic number.

It is an amenable number.

211221201312133 is a deficient number, since it is larger than the sum of its proper divisors (585410752123).

211221201312133 is a wasteful number, since it uses less digits than its factorization.

211221201312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51160995.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 211221201312133 its reverse (331213102122112), we get a palindrome (542434303434245).

The spelling of 211221201312133 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred one million, three hundred twelve thousand, one hundred thirty-three".