31344644313 has 48 divisors (see below), whose sum is σ = 47102702400. Its totient is φ = 20069078400.

The previous prime is 31344644281. The next prime is 31344644323.

31344644313 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 4 + 644 + 3 + 1 + 3 = 666.

31344644313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31344644313 - 2⁵ = 31344644281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31344644323) 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, 12745678 + ... + 12748136.

It is an arithmetic number, because the mean of its divisors is an integer number (981306300).

Almost surely, 2^31344644313 is an apocalyptic number.

It is an amenable number.

31344644313 is a deficient number, since it is larger than the sum of its proper divisors (15758058087).

31344644313 is a wasteful number, since it uses less digits than its factorization.

31344644313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2979 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 31344644313 in words is "thirty-one billion, three hundred forty-four million, six hundred forty-four thousand, three hundred thirteen".