10001000221313 has 4 divisors (see below), whose sum is σ = 10345862297940. Its totient is φ = 9656138144688.

The previous prime is 10001000221301. The next prime is 10001000221327. The reversal of 10001000221313 is 31312200010001.

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 5674171730704 + 4326828490609 = 2382052^2 + 2080103^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001000221313 - 2¹² = 10001000217217 is a prime.

It is a super-3 number, since 3×10001000221313³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001000221343) 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, 172431038270 + ... + 172431038327.

It is an arithmetic number, because the mean of its divisors is an integer number (2586465574485).

Almost surely, 2^{10001000221313} is an apocalyptic number.

It is an amenable number.

10001000221313 is a deficient number, since it is larger than the sum of its proper divisors (344862076627).

10001000221313 is an equidigital number, since it uses as much as digits as its factorization.

10001000221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344862076626.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10001000221313 its reverse (31312200010001), we get a palindrome (41313200231314).

The spelling of 10001000221313 in words is "ten trillion, one billion, two hundred twenty-one thousand, three hundred thirteen".