400133813 has 2 divisors, whose sum is σ = 400133814. Its totient is φ = 400133812.

The previous prime is 400133803. The next prime is 400133857. The reversal of 400133813 is 318331004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 394340164 + 5793649 = 19858^2 + 2407^2 .

It is a cyclic number.

It is not a de Polignac number, because 400133813 - 2¹⁴ = 400117429 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400133803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200066906 + 200066907.

It is an arithmetic number, because the mean of its divisors is an integer number (200066907).

Almost surely, 2^400133813 is an apocalyptic number.

It is an amenable number.

400133813 is a deficient number, since it is larger than the sum of its proper divisors (1).

400133813 is an equidigital number, since it uses as much as digits as its factorization.

400133813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 400133813 is about 20003.3450452668. The cubic root of 400133813 is about 736.8884524523. Note that the first 3 decimals are identical.

Adding to 400133813 its reverse (318331004), we get a palindrome (718464817).

The spelling of 400133813 in words is "four hundred million, one hundred thirty-three thousand, eight hundred thirteen".