413145033113431 has 12 divisors (see below), whose sum is σ = 421863343822872. Its totient is φ = 404462853008448.

The previous prime is 413145033113429. The next prime is 413145033113459. The reversal of 413145033113431 is 134311330541314.

It is not a de Polignac number, because 413145033113431 - 2¹ = 413145033113429 is a prime.

It is a super-2 number, since 2×413145033113431² (a number of 30 digits) 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 (413145033110431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7593265 + ... + 29731258.

It is an arithmetic number, because the mean of its divisors is an integer number (35155278651906).

Almost surely, 2^{413145033113431} is an apocalyptic number.

413145033113431 is a deficient number, since it is larger than the sum of its proper divisors (8718310709441).

413145033113431 is an frugal number, since it uses more digits than its factorization.

413145033113431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37325490 (or 37325033 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

Adding to 413145033113431 its reverse (134311330541314), we get a palindrome (547456363654745).

The spelling of 413145033113431 in words is "four hundred thirteen trillion, one hundred forty-five billion, thirty-three million, one hundred thirteen thousand, four hundred thirty-one".