401100013 has 8 divisors (see below), whose sum is σ = 440568000. Its totient is φ = 363467808.

The previous prime is 401099971. The next prime is 401100019. The reversal of 401100013 is 310001104.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 401100013 - 2²¹ = 399002861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401100019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458488 + ... + 459361.

It is an arithmetic number, because the mean of its divisors is an integer number (55071000).

Almost surely, 2^401100013 is an apocalyptic number.

It is an amenable number.

401100013 is a deficient number, since it is larger than the sum of its proper divisors (39467987).

401100013 is a wasteful number, since it uses less digits than its factorization.

401100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917891.

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

The square root of 401100013 is about 20027.4814442555. The cubic root of 401100013 is about 737.4810952925.

Adding to 401100013 its reverse (310001104), we get a palindrome (711101117).

The spelling of 401100013 in words is "four hundred one million, one hundred thousand, thirteen".