1310220312101 has 2 divisors, whose sum is σ = 1310220312102. Its totient is φ = 1310220312100.

The previous prime is 1310220312061. The next prime is 1310220312109. The reversal of 1310220312101 is 1012130220131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 783977430625 + 526242881476 = 885425^2 + 725426^2 .

It is an emirp because it is prime and its reverse (1012130220131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1310220312101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1310220312101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310220312109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655110156050 + 655110156051.

It is an arithmetic number, because the mean of its divisors is an integer number (655110156051).

Almost surely, 2^{1310220312101} is an apocalyptic number.

It is an amenable number.

1310220312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310220312101 is an equidigital number, since it uses as much as digits as its factorization.

1310220312101 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 1310220312101 its reverse (1012130220131), we get a palindrome (2322350532232).

The spelling of 1310220312101 in words is "one trillion, three hundred ten billion, two hundred twenty million, three hundred twelve thousand, one hundred one".