10233023013 has 6 divisors (see below), whose sum is σ = 14781033254. Its totient is φ = 6822015336.

The previous prime is 10233023011. The next prime is 10233023041. The reversal of 10233023013 is 31032033201.

10233023013 is a `hidden beast` number, since 102 + 330 + 230 + 1 + 3 = 666.

10233023013 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8723933604 + 1509089409 = 93402^2 + 38847^2 .

It is not a de Polignac number, because 10233023013 - 2¹ = 10233023011 is a prime.

It is a super-3 number, since 3×10233023013³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233023011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 568501270 + ... + 568501287.

Almost surely, 2^10233023013 is an apocalyptic number.

It is an amenable number.

10233023013 is a deficient number, since it is larger than the sum of its proper divisors (4548010241).

10233023013 is a wasteful number, since it uses less digits than its factorization.

10233023013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137002563 (or 1137002560 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10233023013 its reverse (31032033201), we get a palindrome (41265056214).

The spelling of 10233023013 in words is "ten billion, two hundred thirty-three million, twenty-three thousand, thirteen".