1312100213101 has 2 divisors, whose sum is σ = 1312100213102. Its totient is φ = 1312100213100.

The previous prime is 1312100213071. The next prime is 1312100213111. The reversal of 1312100213101 is 1013120012131.

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., 1249286821225 + 62813391876 = 1117715^2 + 250626^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312100213101 - 2⁹ = 1312100212589 is a prime.

It is a super-2 number, since 2×1312100213101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1312100213111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656050106550 + 656050106551.

It is an arithmetic number, because the mean of its divisors is an integer number (656050106551).

Almost surely, 2^{1312100213101} is an apocalyptic number.

It is an amenable number.

1312100213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312100213101 is an equidigital number, since it uses as much as digits as its factorization.

1312100213101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1312100213101 its reverse (1013120012131), we get a palindrome (2325220225232).

The spelling of 1312100213101 in words is "one trillion, three hundred twelve billion, one hundred million, two hundred thirteen thousand, one hundred one".