201312131201 has 2 divisors, whose sum is σ = 201312131202. Its totient is φ = 201312131200.

The previous prime is 201312131191. The next prime is 201312131249. The reversal of 201312131201 is 102131213102.

201312131201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167137062976 + 34175068225 = 408824^2 + 184865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201312131201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201312131201.

It is not a weakly prime, because it can be changed into another prime (201312131291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100656065600 + 100656065601.

It is an arithmetic number, because the mean of its divisors is an integer number (100656065601).

Almost surely, 2^201312131201 is an apocalyptic number.

It is an amenable number.

201312131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

201312131201 is an equidigital number, since it uses as much as digits as its factorization.

201312131201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 201312131201 its reverse (102131213102), we get a palindrome (303443344303).

The spelling of 201312131201 in words is "two hundred one billion, three hundred twelve million, one hundred thirty-one thousand, two hundred one".