20120312013101 has 2 divisors, whose sum is σ = 20120312013102. Its totient is φ = 20120312013100.

The previous prime is 20120312013091. The next prime is 20120312013103. The reversal of 20120312013101 is 10131021302102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13323419815876 + 6796892197225 = 3650126^2 + 2607085^2 .

It is a cyclic number.

It is not a de Polignac number, because 20120312013101 - 2²⁶ = 20120244904237 is a prime.

Together with 20120312013103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20120312013101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20120312013103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060156006550 + 10060156006551.

It is an arithmetic number, because the mean of its divisors is an integer number (10060156006551).

Almost surely, 2^{20120312013101} is an apocalyptic number.

It is an amenable number.

20120312013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20120312013101 is an equidigital number, since it uses as much as digits as its factorization.

20120312013101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 20120312013101 its reverse (10131021302102), we get a palindrome (30251333315203).

The spelling of 20120312013101 in words is "twenty trillion, one hundred twenty billion, three hundred twelve million, thirteen thousand, one hundred one".