201300121013213 has 8 divisors (see below), whose sum is σ = 201576703828728. Its totient is φ = 201023543533824.

The previous prime is 201300121013111. The next prime is 201300121013239. The reversal of 201300121013213 is 312310121003102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4422095882884 + 196878025130329 = 2102878^2 + 14031323^2 .

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 201300121013213 - 2³⁰ = 201299047271389 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201300121013273) 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, 77351081 + ... + 79911137.

It is an arithmetic number, because the mean of its divisors is an integer number (25197087978591).

Almost surely, 2^{201300121013213} is an apocalyptic number.

It is an amenable number.

201300121013213 is a deficient number, since it is larger than the sum of its proper divisors (276582815515).

201300121013213 is a wasteful number, since it uses less digits than its factorization.

201300121013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668063.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 201300121013213 its reverse (312310121003102), we get a palindrome (513610242016315).

The spelling of 201300121013213 in words is "two hundred one trillion, three hundred billion, one hundred twenty-one million, thirteen thousand, two hundred thirteen".