10013311313 has 8 divisors (see below), whose sum is σ = 10387953000. Its totient is φ = 9640626688.

The previous prime is 10013311307. The next prime is 10013311327. The reversal of 10013311313 is 31311331001.

It can be written as a sum of positive squares in 4 ways, for example, as 2771811904 + 7241499409 = 52648^2 + 85097^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10013311313 - 2⁶ = 10013311249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10013311291 and 10013311300.

It is not an unprimeable number, because it can be changed into a prime (10013311393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478838 + ... + 499311.

It is an arithmetic number, because the mean of its divisors is an integer number (1298494125).

Almost surely, 2^10013311313 is an apocalyptic number.

It is an amenable number.

10013311313 is a deficient number, since it is larger than the sum of its proper divisors (374641687).

10013311313 is an equidigital number, since it uses as much as digits as its factorization.

10013311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978531.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 10013311313 its reverse (31311331001), we get a palindrome (41324642314).

The spelling of 10013311313 in words is "ten billion, thirteen million, three hundred eleven thousand, three hundred thirteen".