1313311100201 has 2 divisors, whose sum is σ = 1313311100202. Its totient is φ = 1313311100200.

The previous prime is 1313311100161. The next prime is 1313311100203. The reversal of 1313311100201 is 1020011133131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1308724560025 + 4586540176 = 1143995^2 + 67724^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313311100201 - 2²⁶ = 1313243991337 is a prime.

It is a super-2 number, since 2×1313311100201² (a number of 25 digits) contains 22 as substring.

Together with 1313311100203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1313311100201.

It is not a weakly prime, because it can be changed into another prime (1313311100203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656655550100 + 656655550101.

It is an arithmetic number, because the mean of its divisors is an integer number (656655550101).

Almost surely, 2^{1313311100201} is an apocalyptic number.

It is an amenable number.

1313311100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313311100201 is an equidigital number, since it uses as much as digits as its factorization.

1313311100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1313311100201 its reverse (1020011133131), we get a palindrome (2333322233332).

The spelling of 1313311100201 in words is "one trillion, three hundred thirteen billion, three hundred eleven million, one hundred thousand, two hundred one".