10013313110021 has 8 divisors (see below), whose sum is σ = 10785158321784. Its totient is φ = 9241695092160.

The previous prime is 10013313109993. The next prime is 10013313110057. The reversal of 10013313110021 is 12001131331001.

It can be written as a sum of positive squares in 4 ways, for example, as 1583291207521 + 8430021902500 = 1258289^2 + 2903450^2 .

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 10013313110021 - 2²² = 10013308915717 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 (10013313112021) 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, 56706926 + ... + 56883231.

It is an arithmetic number, because the mean of its divisors is an integer number (1348144790223).

Almost surely, 2^{10013313110021} is an apocalyptic number.

It is an amenable number.

10013313110021 is a deficient number, since it is larger than the sum of its proper divisors (771845211763).

10013313110021 is a wasteful number, since it uses less digits than its factorization.

10013313110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113596951.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10013313110021 its reverse (12001131331001), we get a palindrome (22014444441022).

The spelling of 10013313110021 in words is "ten trillion, thirteen billion, three hundred thirteen million, one hundred ten thousand, twenty-one".