413312431311 has 48 divisors (see below), whose sum is σ = 648254903296. Its totient is φ = 252241371648.

The previous prime is 413312431297. The next prime is 413312431327. The reversal of 413312431311 is 113134213314.

413312431311 is a `hidden beast` number, since 4 + 1 + 3 + 312 + 4 + 31 + 311 = 666.

It is not a de Polignac number, because 413312431311 - 2⁷ = 413312431183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413312431351) 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, 54573321 + ... + 54580893.

Almost surely, 2^413312431311 is an apocalyptic number.

413312431311 is a deficient number, since it is larger than the sum of its proper divisors (234942471985).

413312431311 is a wasteful number, since it uses less digits than its factorization.

413312431311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11392 (or 11389 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 413312431311 its reverse (113134213314), we get a palindrome (526446644625).

The spelling of 413312431311 in words is "four hundred thirteen billion, three hundred twelve million, four hundred thirty-one thousand, three hundred eleven".