201211311232321 has 16 divisors (see below), whose sum is σ = 217978729991568. Its totient is φ = 184628995488000.

The previous prime is 201211311232297. The next prime is 201211311232357. The reversal of 201211311232321 is 123232113112102.

It can be written as a sum of positive squares in 8 ways, for example, as 64881494559025 + 136329816673296 = 8054905^2 + 11676036^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201211311232321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201211311232381) 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 15 ways as a sum of consecutive naturals, for example, 12594130 + ... + 23686171.

It is an arithmetic number, because the mean of its divisors is an integer number (13623670624473).

Almost surely, 2^{201211311232321} is an apocalyptic number.

It is an amenable number.

201211311232321 is a deficient number, since it is larger than the sum of its proper divisors (16767418759247).

201211311232321 is a wasteful number, since it uses less digits than its factorization.

201211311232321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36282852.

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

Adding to 201211311232321 its reverse (123232113112102), we get a palindrome (324443424344423).

The spelling of 201211311232321 in words is "two hundred one trillion, two hundred eleven billion, three hundred eleven million, two hundred thirty-two thousand, three hundred twenty-one".