31350005313 has 32 divisors (see below), whose sum is σ = 47046354432. Its totient is φ = 18558041040.

The previous prime is 31350005257. The next prime is 31350005327.

31350005313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31350005313 - 2¹³ = 31349997121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31350005383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80406 + ... + 262992.

It is an arithmetic number, because the mean of its divisors is an integer number (1470198576).

Almost surely, 2^31350005313 is an apocalyptic number.

31350005313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31350005313 is a deficient number, since it is larger than the sum of its proper divisors (15696349119).

31350005313 is a wasteful number, since it uses less digits than its factorization.

31350005313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182666 (or 182644 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 24.

The spelling of 31350005313 in words is "thirty-one billion, three hundred fifty million, five thousand, three hundred thirteen".