20105515324313 has 2 divisors, whose sum is σ = 20105515324314. Its totient is φ = 20105515324312.

The previous prime is 20105515324241. The next prime is 20105515324337. The reversal of 20105515324313 is 31342351550102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15810230059264 + 4295285265049 = 3976208^2 + 2072507^2 .

It is a cyclic number.

It is not a de Polignac number, because 20105515324313 - 2¹⁴ = 20105515307929 is a prime.

It is not a weakly prime, because it can be changed into another prime (20105515324343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10052757662156 + 10052757662157.

It is an arithmetic number, because the mean of its divisors is an integer number (10052757662157).

Almost surely, 2^{20105515324313} is an apocalyptic number.

It is an amenable number.

20105515324313 is a deficient number, since it is larger than the sum of its proper divisors (1).

20105515324313 is an equidigital number, since it uses as much as digits as its factorization.

20105515324313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 20105515324313 its reverse (31342351550102), we get a palindrome (51447866874415).

The spelling of 20105515324313 in words is "twenty trillion, one hundred five billion, five hundred fifteen million, three hundred twenty-four thousand, three hundred thirteen".