10000331313 has 32 divisors (see below), whose sum is σ = 16052643840. Its totient is φ = 5409659520.

The previous prime is 10000331287. The next prime is 10000331339. The reversal of 10000331313 is 31313300001.

It is an interprime number because it is at equal distance from previous prime (10000331287) and next prime (10000331339).

It is not a de Polignac number, because 10000331313 - 2¹³ = 10000323121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000331292 and 10000331301.

It is not an unprimeable number, because it can be changed into a prime (10000331353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568693 + ... + 586013.

It is an arithmetic number, because the mean of its divisors is an integer number (501645120).

Almost surely, 2^10000331313 is an apocalyptic number.

It is an amenable number.

10000331313 is a deficient number, since it is larger than the sum of its proper divisors (6052312527).

10000331313 is a wasteful number, since it uses less digits than its factorization.

10000331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18797.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 10000331313 its reverse (31313300001), we get a palindrome (41313631314).

The spelling of 10000331313 in words is "ten billion, three hundred thirty-one thousand, three hundred thirteen".