20121320012113 has 2 divisors, whose sum is σ = 20121320012114. Its totient is φ = 20121320012112.

The previous prime is 20121320012093. The next prime is 20121320012141. The reversal of 20121320012113 is 31121002312102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18260477539984 + 1860842472129 = 4273228^2 + 1364127^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121320012113 - 2⁴¹ = 17922296756561 is a prime.

It is not a weakly prime, because it can be changed into another prime (20121320012513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060660006056 + 10060660006057.

It is an arithmetic number, because the mean of its divisors is an integer number (10060660006057).

Almost surely, 2^{20121320012113} is an apocalyptic number.

It is an amenable number.

20121320012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121320012113 is an equidigital number, since it uses as much as digits as its factorization.

20121320012113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 20121320012113 its reverse (31121002312102), we get a palindrome (51242322324215).

The spelling of 20121320012113 in words is "twenty trillion, one hundred twenty-one billion, three hundred twenty million, twelve thousand, one hundred thirteen".