401311 has 2 divisors, whose sum is σ = 401312. Its totient is φ = 401310.

The previous prime is 401309. The next prime is 401321. The reversal of 401311 is 113104.

It is a happy number.

It is an a-pointer prime, because the next prime (401321) can be obtained adding 401311 to its sum of digits (10).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 401311 - 2¹ = 401309 is a prime.

It is a super-2 number, since 2×401311² = 322101037442, which contains 22 as substring.

Together with 401309, it forms a pair of twin primes.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200655 + 200656.

It is an arithmetic number, because the mean of its divisors is an integer number (200656).

2⁴⁰¹³¹¹ is an apocalyptic number.

401311 is a deficient number, since it is larger than the sum of its proper divisors (1).

401311 is an equidigital number, since it uses as much as digits as its factorization.

401311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 401311 is about 633.4911206955. The cubic root of 401311 is about 73.7610382789.

Adding to 401311 its reverse (113104), we get a palindrome (514415).

The spelling of 401311 in words is "four hundred one thousand, three hundred eleven", and thus it is an iban number.