2023132133313 has 6 divisors (see below), whose sum is σ = 2922301970354. Its totient is φ = 1348754755536.

The previous prime is 2023132133273. The next prime is 2023132133317. The reversal of 2023132133313 is 3133312313202.

2023132133313 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 1 + 321 + 3 + 331 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1066114070784 + 957018062529 = 1032528^2 + 978273^2 .

It is not a de Polignac number, because 2023132133313 - 2¹⁰ = 2023132132289 is a prime.

It is a super-2 number, since 2×2023132133313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2023132133317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112396229620 + ... + 112396229637.

Almost surely, 2^{2023132133313} is an apocalyptic number.

It is an amenable number.

2023132133313 is a deficient number, since it is larger than the sum of its proper divisors (899169837041).

2023132133313 is a wasteful number, since it uses less digits than its factorization.

2023132133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224792459263 (or 224792459260 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2023132133313 its reverse (3133312313202), we get a palindrome (5156444446515).

The spelling of 2023132133313 in words is "two trillion, twenty-three billion, one hundred thirty-two million, one hundred thirty-three thousand, three hundred thirteen".