311001112201201 has 2 divisors, whose sum is σ = 311001112201202. Its totient is φ = 311001112201200.

The previous prime is 311001112201187. The next prime is 311001112201267. The reversal of 311001112201201 is 102102211100113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 236078584792801 + 74922527408400 = 15364849^2 + 8655780^2 .

It is a cyclic number.

It is not a de Polignac number, because 311001112201201 - 2⁹ = 311001112200689 is a prime.

It is not a weakly prime, because it can be changed into another prime (311001112001201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155500556100600 + 155500556100601.

It is an arithmetic number, because the mean of its divisors is an integer number (155500556100601).

Almost surely, 2^{311001112201201} is an apocalyptic number.

It is an amenable number.

311001112201201 is a deficient number, since it is larger than the sum of its proper divisors (1).

311001112201201 is an equidigital number, since it uses as much as digits as its factorization.

311001112201201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 311001112201201 its reverse (102102211100113), we get a palindrome (413103323301314).

The spelling of 311001112201201 in words is "three hundred eleven trillion, one billion, one hundred twelve million, two hundred one thousand, two hundred one".