401010013 has 2 divisors, whose sum is σ = 401010014. Its totient is φ = 401010012.

The previous prime is 401010007. The next prime is 401010041. The reversal of 401010013 is 310010104.

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., 248314564 + 152695449 = 15758^2 + 12357^2 .

It is a cyclic number.

It is not a de Polignac number, because 401010013 - 2⁵ = 401009981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401010073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200505006 + 200505007.

It is an arithmetic number, because the mean of its divisors is an integer number (200505007).

Almost surely, 2^401010013 is an apocalyptic number.

It is an amenable number.

401010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

401010013 is an equidigital number, since it uses as much as digits as its factorization.

401010013 is an evil number, because the sum of its binary digits is even.

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

The square root of 401010013 is about 20025.2344056193. The cubic root of 401010013 is about 737.4259317743.

Adding to 401010013 its reverse (310010104), we get a palindrome (711020117).

Subtracting from 401010013 its reverse (310010104), we obtain a palindrome (90999909).

The spelling of 401010013 in words is "four hundred one million, ten thousand, thirteen".