10133210313 has 12 divisors (see below), whose sum is σ = 15032450628. Its totient is φ = 6572892960.

The previous prime is 10133210299. The next prime is 10133210317. The reversal of 10133210313 is 31301233101.

It is a happy number.

10133210313 is a `hidden beast` number, since 10 + 1 + 332 + 10 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3657467529 + 6475742784 = 60477^2 + 80472^2 .

It is not a de Polignac number, because 10133210313 - 2¹⁷ = 10133079241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10133210317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15214698 + ... + 15215363.

It is an arithmetic number, because the mean of its divisors is an integer number (1252704219).

Almost surely, 2^10133210313 is an apocalyptic number.

It is an amenable number.

10133210313 is a deficient number, since it is larger than the sum of its proper divisors (4899240315).

10133210313 is a wasteful number, since it uses less digits than its factorization.

10133210313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30430104 (or 30430101 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10133210313 its reverse (31301233101), we get a palindrome (41434443414).

The spelling of 10133210313 in words is "ten billion, one hundred thirty-three million, two hundred ten thousand, three hundred thirteen".