1313001137113 has 2 divisors, whose sum is σ = 1313001137114. Its totient is φ = 1313001137112.

The previous prime is 1313001137089. The next prime is 1313001137167. The reversal of 1313001137113 is 3117311003131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 968328817369 + 344672319744 = 984037^2 + 587088^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1313001137113 is a prime.

It is a super-3 number, since 3×1313001137113³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1313001167113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656500568556 + 656500568557.

It is an arithmetic number, because the mean of its divisors is an integer number (656500568557).

Almost surely, 2^{1313001137113} is an apocalyptic number.

It is an amenable number.

1313001137113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313001137113 is an equidigital number, since it uses as much as digits as its factorization.

1313001137113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 25.

The spelling of 1313001137113 in words is "one trillion, three hundred thirteen billion, one million, one hundred thirty-seven thousand, one hundred thirteen".