10001331306 has 48 divisors (see below), whose sum is σ = 22503184704. Its totient is φ = 3329169984.

The previous prime is 10001331289. The next prime is 10001331313. The reversal of 10001331306 is 60313310001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347250 + ... + 374946.

It is an arithmetic number, because the mean of its divisors is an integer number (468816348).

Almost surely, 2^10001331306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001331306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11251592352).

10001331306 is an abundant number, since it is smaller than the sum of its proper divisors (12501853398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001331306 is an equidigital number, since it uses as much as digits as its factorization.

10001331306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28457 (or 28445 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10001331306 its reverse (60313310001), we get a palindrome (70314641307).

The spelling of 10001331306 in words is "ten billion, one million, three hundred thirty-one thousand, three hundred six".