1323313010101 has 2 divisors, whose sum is σ = 1323313010102. Its totient is φ = 1323313010100.

The previous prime is 1323313010077. The next prime is 1323313010197. The reversal of 1323313010101 is 1010103133231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 973476249201 + 349836760900 = 986649^2 + 591470^2 .

It is an emirp because it is prime and its reverse (1010103133231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1323313010101 - 2¹⁹ = 1323312485813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1323313010801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661656505050 + 661656505051.

It is an arithmetic number, because the mean of its divisors is an integer number (661656505051).

Almost surely, 2^{1323313010101} is an apocalyptic number.

It is an amenable number.

1323313010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1323313010101 is an equidigital number, since it uses as much as digits as its factorization.

1323313010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1323313010101 its reverse (1010103133231), we get a palindrome (2333416143332).

It can be divided in two parts, 13233130 and 10101, that added together give a triangular number (13243231 = T₅₁₄₆).

The spelling of 1323313010101 in words is "one trillion, three hundred twenty-three billion, three hundred thirteen million, ten thousand, one hundred one".