10001331344331 has 6 divisors (see below), whose sum is σ = 14446367497380. Its totient is φ = 6667554229548.

The previous prime is 10001331344309. The next prime is 10001331344341. The reversal of 10001331344331 is 13344313310001.

10001331344331 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 13 + 313 + 4 + 4 + 331 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-10001331344331 is a prime.

It is a super-2 number, since 2×10001331344331² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001331344295 and 10001331344304.

It is not an unprimeable number, because it can be changed into a prime (10001331344341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555629519121 + ... + 555629519138.

It is an arithmetic number, because the mean of its divisors is an integer number (2407727916230).

Almost surely, 2^{10001331344331} is an apocalyptic number.

10001331344331 is a deficient number, since it is larger than the sum of its proper divisors (4445036153049).

10001331344331 is a wasteful number, since it uses less digits than its factorization.

10001331344331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111259038265 (or 1111259038262 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10001331344331 its reverse (13344313310001), we get a palindrome (23345644654332).

The spelling of 10001331344331 in words is "ten trillion, one billion, three hundred thirty-one million, three hundred forty-four thousand, three hundred thirty-one".