201221012001313 has 4 divisors (see below), whose sum is σ = 209969751653568. Its totient is φ = 192472272349060.

The previous prime is 201221012001307. The next prime is 201221012001341. The reversal of 201221012001313 is 313100210122102.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 201221012001313 - 2⁵ = 201221012001281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201221012001413) 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, 4374369826093 + ... + 4374369826138.

It is an arithmetic number, because the mean of its divisors is an integer number (52492437913392).

Almost surely, 2^{201221012001313} is an apocalyptic number.

201221012001313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

201221012001313 is a deficient number, since it is larger than the sum of its proper divisors (8748739652255).

201221012001313 is an equidigital number, since it uses as much as digits as its factorization.

201221012001313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8748739652254.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 201221012001313 its reverse (313100210122102), we get a palindrome (514321222123415).

The spelling of 201221012001313 in words is "two hundred one trillion, two hundred twenty-one billion, twelve million, one thousand, three hundred thirteen".