413311300132431 has 32 divisors (see below), whose sum is σ = 576095920358400. Its totient is φ = 263077966255104.

The previous prime is 413311300132399. The next prime is 413311300132439. The reversal of 413311300132431 is 134231003113314.

It is a happy number.

It is not a de Polignac number, because 413311300132431 - 2⁵ = 413311300132399 is a prime.

It is a super-2 number, since 2×413311300132431² (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 (413311300132439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132522145 + ... + 135605093.

It is an arithmetic number, because the mean of its divisors is an integer number (18002997511200).

Almost surely, 2^{413311300132431} is an apocalyptic number.

413311300132431 is a deficient number, since it is larger than the sum of its proper divisors (162784620225969).

413311300132431 is a wasteful number, since it uses less digits than its factorization.

413311300132431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086535.

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 413311300132431 its reverse (134231003113314), we get a palindrome (547542303245745).

The spelling of 413311300132431 in words is "four hundred thirteen trillion, three hundred eleven billion, three hundred million, one hundred thirty-two thousand, four hundred thirty-one".