311121201111013 has 2 divisors, whose sum is σ = 311121201111014. Its totient is φ = 311121201111012.

The previous prime is 311121201110983. The next prime is 311121201111047. The reversal of 311121201111013 is 310111102121113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249745618368964 + 61375582742049 = 15803342^2 + 7834257^2 .

It is a cyclic number.

It is not a de Polignac number, because 311121201111013 - 2⁹ = 311121201110501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311121201114013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155560600555506 + 155560600555507.

It is an arithmetic number, because the mean of its divisors is an integer number (155560600555507).

Almost surely, 2^{311121201111013} is an apocalyptic number.

It is an amenable number.

311121201111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

311121201111013 is an equidigital number, since it uses as much as digits as its factorization.

311121201111013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 311121201111013 its reverse (310111102121113), we get a palindrome (621232303232126).

The spelling of 311121201111013 in words is "three hundred eleven trillion, one hundred twenty-one billion, two hundred one million, one hundred eleven thousand, thirteen".