20413321624001 has 2 divisors, whose sum is σ = 20413321624002. Its totient is φ = 20413321624000.

The previous prime is 20413321623907. The next prime is 20413321624019. The reversal of 20413321624001 is 10042612331402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18198585360400 + 2214736263601 = 4265980^2 + 1488199^2 .

It is a cyclic number.

It is not a de Polignac number, because 20413321624001 - 2³⁸ = 20138443717057 is a prime.

It is not a weakly prime, because it can be changed into another prime (20413321624051) 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, 10206660812000 + 10206660812001.

It is an arithmetic number, because the mean of its divisors is an integer number (10206660812001).

Almost surely, 2^{20413321624001} is an apocalyptic number.

It is an amenable number.

20413321624001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20413321624001 is an equidigital number, since it uses as much as digits as its factorization.

20413321624001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 20413321624001 its reverse (10042612331402), we get a palindrome (30455933955403).

The spelling of 20413321624001 in words is "twenty trillion, four hundred thirteen billion, three hundred twenty-one million, six hundred twenty-four thousand, one".