10001103313 has 4 divisors (see below), whose sum is σ = 10005436980. Its totient is φ = 9996769648.

The previous prime is 10001103263. The next prime is 10001103319. The reversal of 10001103313 is 31330110001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8947646464 + 1053456849 = 94592^2 + 32457^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001103313 - 2⁹ = 10001102801 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001103293 and 10001103302.

It is not an unprimeable number, because it can be changed into a prime (10001103319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2163370 + ... + 2167987.

It is an arithmetic number, because the mean of its divisors is an integer number (2501359245).

Almost surely, 2^10001103313 is an apocalyptic number.

It is an amenable number.

10001103313 is a deficient number, since it is larger than the sum of its proper divisors (4333667).

10001103313 is an equidigital number, since it uses as much as digits as its factorization.

10001103313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333666.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10001103313 its reverse (31330110001), we get a palindrome (41331213314).

The spelling of 10001103313 in words is "ten billion, one million, one hundred three thousand, three hundred thirteen".