20413321600393 has 2 divisors, whose sum is σ = 20413321600394. Its totient is φ = 20413321600392.

The previous prime is 20413321600307. The next prime is 20413321600403. The reversal of 20413321600393 is 39300612331402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17599140887689 + 2814180712704 = 4195133^2 + 1677552^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20413321600393 is a prime.

It is a super-2 number, since 2×20413321600393² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20413321600193) 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, 10206660800196 + 10206660800197.

It is an arithmetic number, because the mean of its divisors is an integer number (10206660800197).

Almost surely, 2^{20413321600393} is an apocalyptic number.

It is an amenable number.

20413321600393 is a deficient number, since it is larger than the sum of its proper divisors (1).

20413321600393 is an equidigital number, since it uses as much as digits as its factorization.

20413321600393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 37.

Adding to 20413321600393 its reverse (39300612331402), we get a palindrome (59713933931795).

The spelling of 20413321600393 in words is "twenty trillion, four hundred thirteen billion, three hundred twenty-one million, six hundred thousand, three hundred ninety-three".