1313101111001 has 2 divisors, whose sum is σ = 1313101111002. Its totient is φ = 1313101111000.

The previous prime is 1313101110989. The next prime is 1313101111087. The reversal of 1313101111001 is 1001111013131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1213797975625 + 99303135376 = 1101725^2 + 315124^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313101111001 - 2¹⁰ = 1313101109977 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313101111901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656550555500 + 656550555501.

It is an arithmetic number, because the mean of its divisors is an integer number (656550555501).

Almost surely, 2^{1313101111001} is an apocalyptic number.

It is an amenable number.

1313101111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313101111001 is an equidigital number, since it uses as much as digits as its factorization.

1313101111001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 1313101111001 its reverse (1001111013131), we get a palindrome (2314212124132).

The spelling of 1313101111001 in words is "one trillion, three hundred thirteen billion, one hundred one million, one hundred eleven thousand, one".