311106013 has 2 divisors, whose sum is σ = 311106014. Its totient is φ = 311106012.

The previous prime is 311106011. The next prime is 311106017. The reversal of 311106013 is 310601113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 287709444 + 23396569 = 16962^2 + 4837^2 .

It is a cyclic number.

It is not a de Polignac number, because 311106013 - 2¹ = 311106011 is a prime.

It is a super-3 number, since 3×311106013³ (a number of 26 digits) contains 333 as substring.

Together with 311106011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311106011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155553006 + 155553007.

It is an arithmetic number, because the mean of its divisors is an integer number (155553007).

Almost surely, 2^311106013 is an apocalyptic number.

It is an amenable number.

311106013 is a deficient number, since it is larger than the sum of its proper divisors (1).

311106013 is an equidigital number, since it uses as much as digits as its factorization.

311106013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 311106013 is about 17638.1975553059. The cubic root of 311106013 is about 677.5938699743.

Adding to 311106013 its reverse (310601113), we get a palindrome (621707126).

The spelling of 311106013 in words is "three hundred eleven million, one hundred six thousand, thirteen".