400104013 has 2 divisors, whose sum is σ = 400104014. Its totient is φ = 400104012.

The previous prime is 400103983. The next prime is 400104017. The reversal of 400104013 is 310401004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 390971529 + 9132484 = 19773^2 + 3022^2 .

It is a cyclic number.

It is not a de Polignac number, because 400104013 - 2¹³ = 400095821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400103984 and 400104002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400104017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200052006 + 200052007.

It is an arithmetic number, because the mean of its divisors is an integer number (200052007).

Almost surely, 2^400104013 is an apocalyptic number.

It is an amenable number.

400104013 is a deficient number, since it is larger than the sum of its proper divisors (1).

400104013 is an equidigital number, since it uses as much as digits as its factorization.

400104013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 400104013 is about 20002.6001559797. The cubic root of 400104013 is about 736.8701587213.

Adding to 400104013 its reverse (310401004), we get a palindrome (710505017).

The spelling of 400104013 in words is "four hundred million, one hundred four thousand, thirteen".