1313001300213 has 24 divisors (see below), whose sum is σ = 1922708530392. Its totient is φ = 863266595328.

The previous prime is 1313001300179. The next prime is 1313001300227. The reversal of 1313001300213 is 3120031003131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 81260913969 + 1231740386244 = 285063^2 + 1109838^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1313001300213 is a prime.

It is a super-2 number, since 2×1313001300213² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313001300113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7849195 + ... + 8014727.

It is an arithmetic number, because the mean of its divisors is an integer number (80112855433).

Almost surely, 2^{1313001300213} is an apocalyptic number.

It is an amenable number.

1313001300213 is a deficient number, since it is larger than the sum of its proper divisors (609707230179).

1313001300213 is a wasteful number, since it uses less digits than its factorization.

1313001300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177685 (or 177682 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313001300213 its reverse (3120031003131), we get a palindrome (4433032303344).

The spelling of 1313001300213 in words is "one trillion, three hundred thirteen billion, one million, three hundred thousand, two hundred thirteen".