413413204114031 has 32 divisors (see below), whose sum is σ = 465357718425600. Its totient is φ = 364043608231680.

The previous prime is 413413204113979. The next prime is 413413204114051. The reversal of 413413204114031 is 130411402314314.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 413413204114031 - 2⁶ = 413413204113967 is a prime.

It is a super-2 number, since 2×413413204114031² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413413204114051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613464875 + ... + 614138403.

It is an arithmetic number, because the mean of its divisors is an integer number (14542428700800).

Almost surely, 2^{413413204114031} is an apocalyptic number.

413413204114031 is a deficient number, since it is larger than the sum of its proper divisors (51944514311569).

413413204114031 is a wasteful number, since it uses less digits than its factorization.

413413204114031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686999.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 413413204114031 its reverse (130411402314314), we get a palindrome (543824606428345).

The spelling of 413413204114031 in words is "four hundred thirteen trillion, four hundred thirteen billion, two hundred four million, one hundred fourteen thousand, thirty-one".