1013033130113 has 2 divisors, whose sum is σ = 1013033130114. Its totient is φ = 1013033130112.

The previous prime is 1013033130107. The next prime is 1013033130143. The reversal of 1013033130113 is 3110313303101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 933865178689 + 79167951424 = 966367^2 + 281368^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013033130113 - 2³⁴ = 995853260929 is a prime.

It is a super-2 number, since 2×1013033130113² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1013033130103) 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 as a sum of consecutive naturals, namely, 506516565056 + 506516565057.

It is an arithmetic number, because the mean of its divisors is an integer number (506516565057).

Almost surely, 2^{1013033130113} is an apocalyptic number.

It is an amenable number.

1013033130113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013033130113 is an equidigital number, since it uses as much as digits as its factorization.

1013033130113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 1013033130113 its reverse (3110313303101), we get a palindrome (4123346433214).

The spelling of 1013033130113 in words is "one trillion, thirteen billion, thirty-three million, one hundred thirty thousand, one hundred thirteen".