311224404344401 has 2 divisors, whose sum is σ = 311224404344402. Its totient is φ = 311224404344400.

The previous prime is 311224404344369. The next prime is 311224404344411. The reversal of 311224404344401 is 104443404422113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162506379344401 + 148718025000000 = 12747799^2 + 12195000^2 .

It is a cyclic number.

It is not a de Polignac number, because 311224404344401 - 2⁵ = 311224404344369 is a prime.

It is a super-3 number, since 3×311224404344401³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (311224404344411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155612202172200 + 155612202172201.

It is an arithmetic number, because the mean of its divisors is an integer number (155612202172201).

Almost surely, 2^{311224404344401} is an apocalyptic number.

It is an amenable number.

311224404344401 is a deficient number, since it is larger than the sum of its proper divisors (1).

311224404344401 is an equidigital number, since it uses as much as digits as its factorization.

311224404344401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 311224404344401 its reverse (104443404422113), we get a palindrome (415667808766514).

The spelling of 311224404344401 in words is "three hundred eleven trillion, two hundred twenty-four billion, four hundred four million, three hundred forty-four thousand, four hundred one".