400413012113 has 2 divisors, whose sum is σ = 400413012114. Its totient is φ = 400413012112.

The previous prime is 400413012089. The next prime is 400413012133. The reversal of 400413012113 is 311210314004.

It is an a-pointer prime, because the next prime (400413012133) can be obtained adding 400413012113 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 386556897169 + 13856114944 = 621737^2 + 117712^2 .

It is a cyclic number.

It is not a de Polignac number, because 400413012113 - 2⁸ = 400413011857 is a prime.

It is a super-3 number, since 3×400413012113³ (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (400413012133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200206506056 + 200206506057.

It is an arithmetic number, because the mean of its divisors is an integer number (200206506057).

Almost surely, 2^400413012113 is an apocalyptic number.

It is an amenable number.

400413012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

400413012113 is an equidigital number, since it uses as much as digits as its factorization.

400413012113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 400413012113 its reverse (311210314004), we get a palindrome (711623326117).

The spelling of 400413012113 in words is "four hundred billion, four hundred thirteen million, twelve thousand, one hundred thirteen".