21033041113121 has 24 divisors (see below), whose sum is σ = 21583796126760. Its totient is φ = 20494087713792.

The previous prime is 21033041113109. The next prime is 21033041113159. The reversal of 21033041113121 is 12131114033012.

It can be written as a sum of positive squares in 4 ways, for example, as 11259789624721 + 9773251488400 = 3355561^2 + 3126220^2 .

It is a de Polignac number, because none of the positive numbers 2^k-21033041113121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21033041113181) 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 23 ways as a sum of consecutive naturals, for example, 841679495 + ... + 841704483.

It is an arithmetic number, because the mean of its divisors is an integer number (899324838615).

Almost surely, 2^{21033041113121} is an apocalyptic number.

It is an amenable number.

21033041113121 is a deficient number, since it is larger than the sum of its proper divisors (550755013639).

21033041113121 is an equidigital number, since it uses as much as digits as its factorization.

21033041113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27153 (or 27086 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 21033041113121 its reverse (12131114033012), we get a palindrome (33164155146133).

The spelling of 21033041113121 in words is "twenty-one trillion, thirty-three billion, forty-one million, one hundred thirteen thousand, one hundred twenty-one".