4131336331314 has 12 divisors (see below), whose sum is σ = 8951228717886. Its totient is φ = 1377112110432.

The previous prime is 4131336331313. The next prime is 4131336331337.

4131336331314 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 3 + 3 + 6 + 331 + 314 = 666.

4131336331314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 4019154877089 + 112181454225 = 2004783^2 + 334935^2 .

It is not an unprimeable number, because it can be changed into a prime (4131336331313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114759342519 + ... + 114759342554.

Almost surely, 2^{4131336331314} is an apocalyptic number.

4131336331314 is an abundant number, since it is smaller than the sum of its proper divisors (4819892386572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4131336331314 is a wasteful number, since it uses less digits than its factorization.

4131336331314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229518685081 (or 229518685078 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The spelling of 4131336331314 in words is "four trillion, one hundred thirty-one billion, three hundred thirty-six million, three hundred thirty-one thousand, three hundred fourteen".