10310213133 has 108 divisors (see below), whose sum is σ = 17442698364. Its totient is φ = 5856364800.

The previous prime is 10310213093. The next prime is 10310213141. The reversal of 10310213133 is 33131201301.

It is a happy number.

10310213133 is a `hidden beast` number, since 10 + 310 + 213 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4594399524 + 5715813609 = 67782^2 + 75603^2 .

It is not a de Polignac number, because 10310213133 - 2¹⁶ = 10310147597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310213153) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 130508988 + ... + 130509066.

Almost surely, 2^10310213133 is an apocalyptic number.

It is an amenable number.

10310213133 is a deficient number, since it is larger than the sum of its proper divisors (7132485231).

10310213133 is a wasteful number, since it uses less digits than its factorization.

10310213133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 171 counting only the distinct ones).

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

Adding to 10310213133 its reverse (33131201301), we get a palindrome (43441414434).

The spelling of 10310213133 in words is "ten billion, three hundred ten million, two hundred thirteen thousand, one hundred thirty-three".