1313133000001 has 2 divisors, whose sum is σ = 1313133000002. Its totient is φ = 1313133000000.

The previous prime is 1313132999989. The next prime is 1313133000031. The reversal of 1313133000001 is 1000003313131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1186966670400 + 126166329601 = 1089480^2 + 355199^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313133000001 - 2⁷ = 1313132999873 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313133000031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656566500000 + 656566500001.

It is an arithmetic number, because the mean of its divisors is an integer number (656566500001).

Almost surely, 2^{1313133000001} is an apocalyptic number.

It is an amenable number.

1313133000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313133000001 is an equidigital number, since it uses as much as digits as its factorization.

1313133000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1313133000001 its reverse (1000003313131), we get a palindrome (2313136313132).

The spelling of 1313133000001 in words is "one trillion, three hundred thirteen billion, one hundred thirty-three million, one", and thus it is an aban number.