10013313213 has 6 divisors (see below), whose sum is σ = 14463674654. Its totient is φ = 6675542136.

The previous prime is 10013313209. The next prime is 10013313217. The reversal of 10013313213 is 31231331001.

It is a happy number.

10013313213 is a `hidden beast` number, since 10 + 0 + 1 + 331 + 321 + 3 = 666.

10013313213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10013313209) and next prime (10013313217).

It can be written as a sum of positive squares in only one way, i.e., 8423935524 + 1589377689 = 91782^2 + 39867^2 .

It is not a de Polignac number, because 10013313213 - 2² = 10013313209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013313217) 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, 556295170 + ... + 556295187.

Almost surely, 2^10013313213 is an apocalyptic number.

It is an amenable number.

10013313213 is a deficient number, since it is larger than the sum of its proper divisors (4450361441).

10013313213 is a wasteful number, since it uses less digits than its factorization.

10013313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112590363 (or 1112590360 counting only the distinct ones).

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

Adding to 10013313213 its reverse (31231331001), we get a palindrome (41244644214).

The spelling of 10013313213 in words is "ten billion, thirteen million, three hundred thirteen thousand, two hundred thirteen".