10582106013303 has 16 divisors (see below), whose sum is σ = 15392940096000. Its totient is φ = 6413070127680.

The previous prime is 10582106013247. The next prime is 10582106013307. The reversal of 10582106013303 is 30331060128501.

It is not a de Polignac number, because 10582106013303 - 2¹⁴ = 10582105996919 is a prime.

It is a super-2 number, since 2×10582106013303² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10582106013307) 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, 7529503 + ... + 8823696.

It is an arithmetic number, because the mean of its divisors is an integer number (962058756000).

Almost surely, 2^{10582106013303} is an apocalyptic number.

10582106013303 is a deficient number, since it is larger than the sum of its proper divisors (4810834082697).

10582106013303 is a wasteful number, since it uses less digits than its factorization.

10582106013303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16372822.

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 10582106013303 in words is "ten trillion, five hundred eighty-two billion, one hundred six million, thirteen thousand, three hundred three".