1313322011101 has 2 divisors, whose sum is σ = 1313322011102. Its totient is φ = 1313322011100.

The previous prime is 1313322011081. The next prime is 1313322011137. The reversal of 1313322011101 is 1011102233131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1288511035876 + 24810975225 = 1135126^2 + 157515^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313322011101 - 2²⁹ = 1312785140189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313322011401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656661005550 + 656661005551.

It is an arithmetic number, because the mean of its divisors is an integer number (656661005551).

Almost surely, 2^{1313322011101} is an apocalyptic number.

It is an amenable number.

1313322011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313322011101 is an equidigital number, since it uses as much as digits as its factorization.

1313322011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1313322011101 its reverse (1011102233131), we get a palindrome (2324424244232).

The spelling of 1313322011101 in words is "one trillion, three hundred thirteen billion, three hundred twenty-two million, eleven thousand, one hundred one".