31334843313 has 12 divisors (see below), whose sum is σ = 45263489908. Its totient is φ = 20888949600.

The previous prime is 31334843297. The next prime is 31334843329.

31334843313 is a `hidden beast` number, since 3 + 1 + 334 + 8 + 4 + 3 + 313 = 666.

31334843313 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (31334843297) and next prime (31334843329).

It can be written as a sum of positive squares in 2 ways, for example, as 13925888064 + 17408955249 = 118008^2 + 131943^2 .

It is not a de Polignac number, because 31334843313 - 2⁴ = 31334843297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31334843363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173463 + ... + 304563.

Almost surely, 2^31334843313 is an apocalyptic number.

It is an amenable number.

31334843313 is a deficient number, since it is larger than the sum of its proper divisors (13928646595).

31334843313 is a wasteful number, since it uses less digits than its factorization.

31334843313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157664 (or 157661 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 31334843313 in words is "thirty-one billion, three hundred thirty-four million, eight hundred forty-three thousand, three hundred thirteen".