413126036331 has 32 divisors (see below), whose sum is σ = 564068413440. Its totient is φ = 268870368000.

The previous prime is 413126036303. The next prime is 413126036347. The reversal of 413126036331 is 133630621314.

It is not a de Polignac number, because 413126036331 - 2¹⁴ = 413126019947 is a prime.

It is a super-2 number, since 2×413126036331² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413126036292 and 413126036301.

It is not an unprimeable number, because it can be changed into a prime (413126736331) 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, 20307841 + ... + 20328173.

It is an arithmetic number, because the mean of its divisors is an integer number (17627137920).

Almost surely, 2^413126036331 is an apocalyptic number.

413126036331 is a deficient number, since it is larger than the sum of its proper divisors (150942377109).

413126036331 is a wasteful number, since it uses less digits than its factorization.

413126036331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21187.

The product of its (nonzero) digits is 23328, while the sum is 33.

Adding to 413126036331 its reverse (133630621314), we get a palindrome (546756657645).

The spelling of 413126036331 in words is "four hundred thirteen billion, one hundred twenty-six million, thirty-six thousand, three hundred thirty-one".