201221023001313 has 16 divisors (see below), whose sum is σ = 310822819615616. Its totient is φ = 113408326074240.

The previous prime is 201221023001267. The next prime is 201221023001353. The reversal of 201221023001313 is 313100320122102.

201221023001313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201221023001313 - 2¹⁴ = 201221022984929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 201221023001313.

It is not an unprimeable number, because it can be changed into a prime (201221023001353) 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, 65629816798 + ... + 65629819863.

It is an arithmetic number, because the mean of its divisors is an integer number (19426426225976).

Almost surely, 2^{201221023001313} is an apocalyptic number.

It is an amenable number.

201221023001313 is a deficient number, since it is larger than the sum of its proper divisors (109601796614303).

201221023001313 is a wasteful number, since it uses less digits than its factorization.

201221023001313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131259636744.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 201221023001313 its reverse (313100320122102), we get a palindrome (514321343123415).

The spelling of 201221023001313 in words is "two hundred one trillion, two hundred twenty-one billion, twenty-three million, one thousand, three hundred thirteen".