10003313101013 has 16 divisors (see below), whose sum is σ = 10202595548400. Its totient is φ = 9806631154176.

The previous prime is 10003313100973. The next prime is 10003313101027. The reversal of 10003313101013 is 31010131330001.

It can be written as a sum of positive squares in 8 ways, for example, as 664800514609 + 9338512586404 = 815353^2 + 3055898^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10003313101013 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10003313100982 and 10003313101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003313101513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2115131 + ... + 4947767.

It is an arithmetic number, because the mean of its divisors is an integer number (637662221775).

Almost surely, 2^{10003313101013} is an apocalyptic number.

It is an amenable number.

10003313101013 is a deficient number, since it is larger than the sum of its proper divisors (199282447387).

10003313101013 is a wasteful number, since it uses less digits than its factorization.

10003313101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833096.

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

Adding to 10003313101013 its reverse (31010131330001), we get a palindrome (41013444431014).

The spelling of 10003313101013 in words is "ten trillion, three billion, three hundred thirteen million, one hundred one thousand, thirteen".