10582338313 has 16 divisors (see below), whose sum is σ = 11514799296. Its totient is φ = 9686315520.

The previous prime is 10582338289. The next prime is 10582338337. The reversal of 10582338313 is 31383328501.

It is an interprime number because it is at equal distance from previous prime (10582338289) and next prime (10582338337).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10582338313 is a prime.

It is a super-2 number, since 2×10582338313² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10582438313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139258 + ... + 201388.

It is an arithmetic number, because the mean of its divisors is an integer number (719674956).

Almost surely, 2^10582338313 is an apocalyptic number.

It is an amenable number.

10582338313 is a deficient number, since it is larger than the sum of its proper divisors (932460983).

10582338313 is a wasteful number, since it uses less digits than its factorization.

10582338313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62424.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 10582338313 in words is "ten billion, five hundred eighty-two million, three hundred thirty-eight thousand, three hundred thirteen".