21040120324193 has 2 divisors, whose sum is σ = 21040120324194. Its totient is φ = 21040120324192.

The previous prime is 21040120324177. The next prime is 21040120324229. The reversal of 21040120324193 is 39142302104012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13291507645504 + 7748612678689 = 3645752^2 + 2783633^2 .

It is a cyclic number.

It is not a de Polignac number, because 21040120324193 - 2⁴ = 21040120324177 is a prime.

It is a super-2 number, since 2×21040120324193² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21040120324103) 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 as a sum of consecutive naturals, namely, 10520060162096 + 10520060162097.

It is an arithmetic number, because the mean of its divisors is an integer number (10520060162097).

Almost surely, 2^{21040120324193} is an apocalyptic number.

It is an amenable number.

21040120324193 is a deficient number, since it is larger than the sum of its proper divisors (1).

21040120324193 is an equidigital number, since it uses as much as digits as its factorization.

21040120324193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 21040120324193 in words is "twenty-one trillion, forty billion, one hundred twenty million, three hundred twenty-four thousand, one hundred ninety-three".