311120321211313 has 2 divisors, whose sum is σ = 311120321211314. Its totient is φ = 311120321211312.

The previous prime is 311120321211289. The next prime is 311120321211331. The reversal of 311120321211313 is 313112123021113.

Together with next prime (311120321211331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298750068534544 + 12370252676769 = 17284388^2 + 3517137^2 .

It is a cyclic number.

It is not a de Polignac number, because 311120321211313 - 2⁴¹ = 308921297955761 is a prime.

It is not a weakly prime, because it can be changed into another prime (311120321211113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155560160605656 + 155560160605657.

It is an arithmetic number, because the mean of its divisors is an integer number (155560160605657).

Almost surely, 2^{311120321211313} is an apocalyptic number.

It is an amenable number.

311120321211313 is a deficient number, since it is larger than the sum of its proper divisors (1).

311120321211313 is an equidigital number, since it uses as much as digits as its factorization.

311120321211313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 311120321211313 its reverse (313112123021113), we get a palindrome (624232444232426).

The spelling of 311120321211313 in words is "three hundred eleven trillion, one hundred twenty billion, three hundred twenty-one million, two hundred eleven thousand, three hundred thirteen".