311013123301 has 2 divisors, whose sum is σ = 311013123302. Its totient is φ = 311013123300.

The previous prime is 311013123299. The next prime is 311013123313. The reversal of 311013123301 is 103321310113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 293780260225 + 17232863076 = 542015^2 + 131274^2 .

It is a cyclic number.

It is not a de Polignac number, because 311013123301 - 2¹ = 311013123299 is a prime.

Together with 311013123299, 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 (311013123331) 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, 155506561650 + 155506561651.

It is an arithmetic number, because the mean of its divisors is an integer number (155506561651).

Almost surely, 2^311013123301 is an apocalyptic number.

It is an amenable number.

311013123301 is a deficient number, since it is larger than the sum of its proper divisors (1).

311013123301 is an equidigital number, since it uses as much as digits as its factorization.

311013123301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 311013123301 its reverse (103321310113), we get a palindrome (414334433414).

The spelling of 311013123301 in words is "three hundred eleven billion, thirteen million, one hundred twenty-three thousand, three hundred one".