31330131417 has 18 divisors (see below), whose sum is σ = 49003541262. Its totient is φ = 19280079936.

The previous prime is 31330131403. The next prime is 31330131439. The reversal of 31330131417 is 71413103313.

31330131417 is a `hidden beast` number, since 3 + 1 + 330 + 1 + 314 + 17 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 231161616 + 31098969801 = 15204^2 + 176349^2 .

It is not a de Polignac number, because 31330131417 - 2¹² = 31330127321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31330131457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10297668 + ... + 10300709.

It is an arithmetic number, because the mean of its divisors is an integer number (2722418959).

Almost surely, 2^31330131417 is an apocalyptic number.

It is an amenable number.

31330131417 is a deficient number, since it is larger than the sum of its proper divisors (17673409845).

31330131417 is a wasteful number, since it uses less digits than its factorization.

31330131417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20598409 (or 20598393 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 31330131417 in words is "thirty-one billion, three hundred thirty million, one hundred thirty-one thousand, four hundred seventeen".