413004311301 has 32 divisors (see below), whose sum is σ = 616984915968. Its totient is φ = 244381786880.

The previous prime is 413004311273. The next prime is 413004311407. The reversal of 413004311301 is 103113400314.

It is a cyclic number.

It is not a de Polignac number, because 413004311301 - 2⁷ = 413004311173 is a prime.

It is a super-2 number, since 2×413004311301² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413004311201) 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 31 ways as a sum of consecutive naturals, for example, 2396241 + ... + 2562806.

It is an arithmetic number, because the mean of its divisors is an integer number (19280778624).

Almost surely, 2^413004311301 is an apocalyptic number.

It is an amenable number.

413004311301 is a deficient number, since it is larger than the sum of its proper divisors (203980604667).

413004311301 is a wasteful number, since it uses less digits than its factorization.

413004311301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4959161.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 413004311301 its reverse (103113400314), we get a palindrome (516117711615).

The spelling of 413004311301 in words is "four hundred thirteen billion, four million, three hundred eleven thousand, three hundred one".