21120135332113 has 16 divisors (see below), whose sum is σ = 22584855078864. Its totient is φ = 19680138649600.

The previous prime is 21120135332047. The next prime is 21120135332137. The reversal of 21120135332113 is 31123353102112.

It can be written as a sum of positive squares in 8 ways, for example, as 1662005699344 + 19458129632769 = 1289188^2 + 4411137^2 .

It is a cyclic number.

It is not a de Polignac number, because 21120135332113 - 2⁹ = 21120135331601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21120135332183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42742881 + ... + 43234177.

It is an arithmetic number, because the mean of its divisors is an integer number (1411553442429).

Almost surely, 2^{21120135332113} is an apocalyptic number.

It is an amenable number.

21120135332113 is a deficient number, since it is larger than the sum of its proper divisors (1464719746751).

21120135332113 is a wasteful number, since it uses less digits than its factorization.

21120135332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516452.

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 21120135332113 its reverse (31123353102112), we get a palindrome (52243488434225).

The spelling of 21120135332113 in words is "twenty-one trillion, one hundred twenty billion, one hundred thirty-five million, three hundred thirty-two thousand, one hundred thirteen".