413444312131311 has 48 divisors (see below), whose sum is σ = 635279424159744. Its totient is φ = 258207403698432.

The previous prime is 413444312131307. The next prime is 413444312131327. The reversal of 413444312131311 is 113131213444314.

413444312131311 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 4 + 431 + 213 + 1 + 3 + 1 + 1 = 666.

It is not a de Polignac number, because 413444312131311 - 2² = 413444312131307 is a prime.

It is a super-2 number, since 2×413444312131311² (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 (413444312131351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21293890 + ... + 35781536.

It is an arithmetic number, because the mean of its divisors is an integer number (13234988003328).

Almost surely, 2^{413444312131311} is an apocalyptic number.

413444312131311 is a deficient number, since it is larger than the sum of its proper divisors (221835112028433).

413444312131311 is a wasteful number, since it uses less digits than its factorization.

413444312131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14488540 (or 14488537 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 413444312131311 its reverse (113131213444314), we get a palindrome (526575525575625).

The spelling of 413444312131311 in words is "four hundred thirteen trillion, four hundred forty-four billion, three hundred twelve million, one hundred thirty-one thousand, three hundred eleven".