20121320012513 has 2 divisors, whose sum is σ = 20121320012514. Its totient is φ = 20121320012512.

The previous prime is 20121320012473. The next prime is 20121320012527. The reversal of 20121320012513 is 31521002312102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10769607397264 + 9351712615249 = 3281708^2 + 3058057^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121320012513 - 2⁸ = 20121320012257 is a prime.

It is not a weakly prime, because it can be changed into another prime (20121320012113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060660006256 + 10060660006257.

It is an arithmetic number, because the mean of its divisors is an integer number (10060660006257).

Almost surely, 2^{20121320012513} is an apocalyptic number.

It is an amenable number.

20121320012513 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121320012513 is an equidigital number, since it uses as much as digits as its factorization.

20121320012513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 20121320012513 its reverse (31521002312102), we get a palindrome (51642322324615).

The spelling of 20121320012513 in words is "twenty trillion, one hundred twenty-one billion, three hundred twenty million, twelve thousand, five hundred thirteen".