201330013012313 has 8 divisors (see below), whose sum is σ = 202181486112840. Its totient is φ = 200479436674560.

The previous prime is 201330013012301. The next prime is 201330013012321. The reversal of 201330013012313 is 313210310033102.

It can be written as a sum of positive squares in 4 ways, for example, as 2528952311824 + 198801060700489 = 1590268^2 + 14099683^2 .

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 201330013012313 - 2⁸ = 201330013012057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201330013012393) 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, 223740728 + ... + 224638761.

It is an arithmetic number, because the mean of its divisors is an integer number (25272685764105).

Almost surely, 2^{201330013012313} is an apocalyptic number.

It is an amenable number.

201330013012313 is a deficient number, since it is larger than the sum of its proper divisors (851473100527).

201330013012313 is a wasteful number, since it uses less digits than its factorization.

201330013012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448381387.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 201330013012313 its reverse (313210310033102), we get a palindrome (514540323045415).

The spelling of 201330013012313 in words is "two hundred one trillion, three hundred thirty billion, thirteen million, twelve thousand, three hundred thirteen".