401315013 has 24 divisors (see below), whose sum is σ = 653508800. Its totient is φ = 243219240.

The previous prime is 401314997. The next prime is 401315027. The reversal of 401315013 is 310513104.

It is not a de Polignac number, because 401315013 - 2⁴ = 401314997 is a prime.

It is a super-2 number, since 2×401315013² = 322107479318380338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401315053) 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 23 ways as a sum of consecutive naturals, for example, 58153 + ... + 64686.

Almost surely, 2^401315013 is an apocalyptic number.

It is an amenable number.

401315013 is a deficient number, since it is larger than the sum of its proper divisors (252193787).

401315013 is a wasteful number, since it uses less digits than its factorization.

401315013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122870 (or 122853 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 401315013 is about 20032.8483496481. The cubic root of 401315013 is about 737.6128414142.

Adding to 401315013 its reverse (310513104), we get a palindrome (711828117).

The spelling of 401315013 in words is "four hundred one million, three hundred fifteen thousand, thirteen".