1133313000113 has 6 divisors (see below), whose sum is σ = 1318343694066. Its totient is φ = 971411142912.

The previous prime is 1133313000077. The next prime is 1133313000119. The reversal of 1133313000113 is 3110003133311.

It can be written as a sum of positive squares in only one way, i.e., 1065781622689 + 67531377424 = 1032367^2 + 259868^2 .

It is not a de Polignac number, because 1133313000113 - 2¹² = 1133312996017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1133313000119) 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 in 5 ways as a sum of consecutive naturals, for example, 11564418320 + ... + 11564418417.

It is an arithmetic number, because the mean of its divisors is an integer number (219723949011).

Almost surely, 2^{1133313000113} is an apocalyptic number.

It is an amenable number.

1133313000113 is a deficient number, since it is larger than the sum of its proper divisors (185030693953).

1133313000113 is an equidigital number, since it uses as much as digits as its factorization.

1133313000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23128836751 (or 23128836744 counting only the distinct ones).

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

Adding to 1133313000113 its reverse (3110003133311), we get a palindrome (4243316133424).

The spelling of 1133313000113 in words is "one trillion, one hundred thirty-three billion, three hundred thirteen million, one hundred thirteen", and thus it is an aban number.