311102202201313 has 2 divisors, whose sum is σ = 311102202201314. Its totient is φ = 311102202201312.

The previous prime is 311102202201239. The next prime is 311102202201383. The reversal of 311102202201313 is 313102202201113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240150438316944 + 70951763884369 = 15496788^2 + 8423287^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311102202201313 is a prime.

It is not a weakly prime, because it can be changed into another prime (311102202201383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155551101100656 + 155551101100657.

It is an arithmetic number, because the mean of its divisors is an integer number (155551101100657).

Almost surely, 2^{311102202201313} is an apocalyptic number.

It is an amenable number.

311102202201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

311102202201313 is an equidigital number, since it uses as much as digits as its factorization.

311102202201313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 311102202201313 its reverse (313102202201113), we get a palindrome (624204404402426).

The spelling of 311102202201313 in words is "three hundred eleven trillion, one hundred two billion, two hundred two million, two hundred one thousand, three hundred thirteen".