401331113 has 2 divisors, whose sum is σ = 401331114. Its totient is φ = 401331112.

The previous prime is 401331107. The next prime is 401331127. The reversal of 401331113 is 311133104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251317609 + 150013504 = 15853^2 + 12248^2 .

It is a cyclic number.

It is not a de Polignac number, because 401331113 - 2¹⁰ = 401330089 is a prime.

It is a super-2 number, since 2×401331113² = 322133324523637538, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 401331091 and 401331100.

It is not a weakly prime, because it can be changed into another prime (401331143) 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, 200665556 + 200665557.

It is an arithmetic number, because the mean of its divisors is an integer number (200665557).

Almost surely, 2^401331113 is an apocalyptic number.

It is an amenable number.

401331113 is a deficient number, since it is larger than the sum of its proper divisors (1).

401331113 is an equidigital number, since it uses as much as digits as its factorization.

401331113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 401331113 is about 20033.2501856289. The cubic root of 401331113 is about 737.6227051601.

Adding to 401331113 its reverse (311133104), we get a palindrome (712464217).

The spelling of 401331113 in words is "four hundred one million, three hundred thirty-one thousand, one hundred thirteen".