21141013242033 has 6 divisors (see below), whose sum is σ = 30537019127394. Its totient is φ = 14094008828016.

The previous prime is 21141013242023. The next prime is 21141013242049. The reversal of 21141013242033 is 33024231014112.

21141013242033 is a `hidden beast` number, since 2 + 1 + 1 + 410 + 1 + 3 + 242 + 0 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17085268365489 + 4055744876544 = 4133433^2 + 2013888^2 .

It is not a de Polignac number, because 21141013242033 - 2⁴ = 21141013242017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21141013241988 and 21141013242006.

It is not an unprimeable number, because it can be changed into a prime (21141013242023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1174500735660 + ... + 1174500735677.

It is an arithmetic number, because the mean of its divisors is an integer number (5089503187899).

Almost surely, 2^{21141013242033} is an apocalyptic number.

It is an amenable number.

21141013242033 is a deficient number, since it is larger than the sum of its proper divisors (9396005885361).

21141013242033 is a wasteful number, since it uses less digits than its factorization.

21141013242033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349001471343 (or 2349001471340 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 21141013242033 its reverse (33024231014112), we get a palindrome (54165244256145).

The spelling of 21141013242033 in words is "twenty-one trillion, one hundred forty-one billion, thirteen million, two hundred forty-two thousand, thirty-three".